Papers

Publications

2026

Agud-Albesa, L.; Boix-García, M.; Torregrosa, J. R.

A combined Method Of Lines and Orthogonal Collocation with Second kind Chebyshev nodes for convection–diffusion–reaction equation with Danckwerts Conditions Journal Article

In: vol. 472, 2026.

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Chandel, Aanchal; Bhalla, Sonia; Cordero, Alicia; Torregrosa, Juan R.; Behl, Ramandeep

A Newton-Based Tuna Swarm Optimization Algorithm for Solving Nonlinear Problems with Application to Differential Equations Journal Article

In: Algorithms, vol. 19, no. 1, 2026, (Cited by: 0).

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Jerezano, Julissa H.; Chicharro, Francisco I.; Garrido-Saez, Neus

Derivative-free optimal multiple-root finding family of iterative methods Journal Article

In: Computational and Applied Mathematics, vol. 45, no. 7, 2026.

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Dua, Lovish; Singh, Sukhjit; Martínez, Eulalia; Hernández-Verón, M. A.; Behl, Ramandeep

Extending the applicability of a fifth order iterative method for solving nonlinear Hammerstein-type integral equations Journal Article

In: 2026.

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Cordero, Alicia; Sepúlveda, Miguel A. Leonardo; Torregrosa, Juan R.; Cabral, Antmel Rodríguez; Vassileva, María P.

Generalized Traub Family for Solving Nonlinear Systems: Fourth-Order Optimal Method and Dynamical Analysis Journal Article

In: vol. 14, no. 7, 2026.

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Hernández-Verón, M. A.; Martínez, Eulalia; Dua, Lovish; Singh, Sukhjit

The Krasnoselskij Operator for Locating and Approximating Fixed Points Journal Article

In: vol. 23, no. 4, 2026.

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2025

Tassaddiq, Asifa; Qureshi, Sania; Argyros, Ioannis K.; Chicharro, Francisco I.; Soomro, Amanullah; Nizamani, Paras; Hincal, Evren

A convergent and stable fourth-order iterative procedure based on Kung-Traub conjecture for nonlinear systems Journal Article

In: vol. 214, pp. 54 – 79, 2025.

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Zafar, Fiza; Cordero, Alicia; Mujtaba, Sadia; Torregrosa, Juan R.

A Hybrid Steffensen–Genetic Algorithm for Finding Multi-Roots of Nonlinear Equations and Applications to Biomedical Engineering Journal Article

In: vol. 18, no. 9, 2025.

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Cordero, Alicia; Machuca, María Emilia Maldonado; Torregrosa, Juan R.

A New Perspective on the Convergence of Mean-Based Methods for Nonlinear Equations Journal Article

In: vol. 13, no. 21, 2025.

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Cordero, Alicia; Maimó, Javier G.; Cabral, Antmel Rodríguez; Torregrosa, Juan R.

About the stability of self-accelerating parameters in vectorial iterative methods without memory Journal Article

In: 2025.

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Bisquert, Juan; Fenollosa, Roberto; Cordero, Alicia; Torregrosa, Juan R.

Bifurcation and Frequency Properties of S-Type Neuronic Oscillators Journal Article

In: vol. 16, no. 15, pp. 3616 – 3631, 2025.

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Cordero, Alicia; Torregrosa, Juan R.; Bisquert, Juan

Bifurcation and oscillations in fluidic nanopores: A model neuron for liquid neuromorphic networks Journal Article

In: vol. 7, no. 1, 2025.

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Hernández-Verón, M. A.; Yadav, Sonia; Magreñán, Á. A.; Martínez, Eulalia; Singh, Sukhjit

Construction of derivative-free iterative schemes with second and third convergence order Book

2025, (Cited by: 0).

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Yadav, Nisha; Singh, Sukhjit; Martínez, Eulalia; Singh, Mehakpreet

Extending the applicability of improved Chebyshev–Secant-type methods Journal Article

In: Zeitschrift fur Angewandte Mathematik und Physik, vol. 76, no. 3, 2025, (Cited by: 0; All Open Access, Hybrid Gold Open Access).

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Cordero, Alicia; Torregrosa, Juan R.; Triguero-Navarro, Paula

First optimal vectorial eighth-order iterative scheme for solving non-linear systems Journal Article

In: Applied Mathematics and Computation, vol. 498, 2025, (Cited by: 2; All Open Access, Hybrid Gold Open Access).

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Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramon

Generalizing Traub's method to a parametric iterative class for solving multidimensional nonlinear problems Journal Article

In: vol. 48, no. 7, pp. 7861 – 7874, 2025.

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, Maria P.

High-level convergence order accelerators of iterative methods for nonlinear problems Journal Article

In: vol. 217, pp. 390 – 411, 2025.

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Cordero, Alicia; Torregrosa, Juan R.; Triguero-Navarro, Paula

Jacobian-Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 48, no. 5, pp. 5718 – 5730, 2025, (Cited by: 3).

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations Journal Article

In: Applied Mathematics and Computation, vol. 492, 2025.

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Cordero, Alicia; Segura, Elaine; Torregrosa, Juan R.; Vassileva, María P.

New Iterative Procedures for Approximating Different Types of Inverse Matrix: Convergence and Stability Journal Article

In: vol. 48, no. 8, pp. 8806 – 8817, 2025.

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Cordero, Alicia; Neta, Beny; Torregrosa, Juan R.

Reasons for stability in the construction of derivative-free multistep iterative methods Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 48, no. 7, pp. 7845 – 7860, 2025, (Cited by: 2).

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Chicharro, Francisco I.; Garrido-Saez, Neus; Jerezano, Julissa H.

Secant-Type Iterative Classes for Nonlinear Equations with Multiple Roots Journal Article

In: vol. 18, no. 9, 2025.

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Martínez, Eulalia; Ledesma, Arleen

Semilocal Convergence Domain of a Chandrasekhar Integral Equation Journal Article

In: Symmetry, vol. 17, no. 5, 2025, (Cited by: 0; All Open Access, Gold Open Access).

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Hernández-Verón, M. A.; Yadav, Sonia; Martínez, Eulalia; Singh, Sukhjit

Solving Hammerstein-Type Integral Equations with Polynomial Nemystkii Operator Journal Article

In: Mediterranean Journal of Mathematics, vol. 22, no. 3, 2025, (Cited by: 0; All Open Access, Hybrid Gold Open Access).

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Martínez, Eulalia; Reyes, José A.; Cordero, Alicia; Torregrosa, Juan R.

Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme Journal Article

In: vol. 13, no. 6, 2025.

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Martínez, Eulalia; Reyes, José A.; Cordero, Alicia; Torregrosa, Juan R.

Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme Journal Article

In: Computation, vol. 13, no. 6, 2025, (Cited by: 0).

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Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Three-step iterative weight function scheme with memory for solving nonlinear problems Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 48, no. 7, pp. 8024 – 8036, 2025, (Cited by: 2; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Agud-Albesa, Lucía; Garrido, Neus; Llorens, Almudena; Oltra-Crespo, Sandra

Unmanned Aerial Vehicles Surveillance Routing as a Multi-objective Team Orienteering Problem Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14779 LNCS, pp. 363 – 371, 2025, (Cited by: 0).

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Villalba, Eva G.; Hernandez, Miguel; Hueso, Jose L.; Martínez, Eulalia

Using decomposition of the nonlinear operator for solving non-differentiable problems Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 48, no. 7, pp. 7987 – 8006, 2025, (Cited by: 4; All Open Access, Bronze Open Access, Green Open Access).

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2024

Padilla, José J.; Chicharro, Francisco I.; Cordero, Alicia; Hernández-Díaz, Alejandro M.; Torregrosa, Juan R.

A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam Journal Article

In: Mathematics, vol. 12, no. 3, 2024.

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Hernández-Verón, Miguel A.; Singh, Sukhjit; Martínez, Eulalia; Yadav, Nisha

A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations Journal Article

In: Mathematical Modelling and Analysis, vol. 29, no. 1, pp. 161 – 177, 2024, (Cited by: 0; All Open Access, Gold Open Access, Green Open Access).

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

A highly efficient class of optimal fourth-order methods for solving nonlinear systems Journal Article

In: Numerical Algorithms, vol. 95, no. 4, pp. 1879 – 1904, 2024.

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Zafar, Fiza; Chicharro, Francisco I.; Cordero, Alicia; Ali, Niaz; Torregrosa, Juan R.

A Hybrid Jarratt-Particle Swarm Optimization Algorithm for Nonlinear Problems and Applications Conference

Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-63274-9.

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Chang, Chih-Wen; Qureshi, Sania; Argyros, Ioannis K.; Chicharro, Francisco I.; Soomro, Amanullah

A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions Journal Article

In: Mathematics and Computers in Simulation, vol. 229, pp. 448-467, 2024.

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Qureshi, Sania; Chicharro, Francisco I.; Argyros, Ionannis K.; Soomro, Amanullah; Alahmadi, Jihan; Hincal, Evren

A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis Journal Article

In: Axioms , vol. 13, iss. 6, pp. 341, 2024.

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Zafar, Fiza; Cordero, Alicia; Maryam, Husna; Torregrosa, Juan R.

A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations Journal Article

In: Algorithms, vol. 17, no. 2, 2024.

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Moscoso-Martínez, Marlon; Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.; Ureña-Callay, Gabriela

Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results Journal Article

In: Axioms, vol. 13, iss. 7, pp. 458, 2024.

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Kumar, Nishant; Cordero, Alicia; Jaiswal, J. P.; Torregrosa, Juan R.

An efficient extension of three-step optimal iterative scheme into with memory and its stability Journal Article

In: Journal of Analysis, 2024.

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Jerezano, Julissa H.; Chicharro, Francisco I.; Garrido-Saez, Neus

An optimal scheme for finding multiple roots free of derivatives Conference

Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-57681-4.

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Baber, Muhammad Z.; Ahmed, Nauman; Yasin, Muhammad Waqas; Iqbal, Muhammad Sajid; Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.

Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction–Diffusion Biofilm Model including Quorum Sensing Journal Article

In: Mathematics, vol. 12, no. 9, 2024.

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Villalba, Eva G.; Argyros, Ioannis K.; Hernández-Verón, M. A.; Martínez, Eulalia

Derivative free processes of high order for nondifferentiable equations in Banach spaces Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 47, no. 18, pp. 14610 – 14628, 2024, (Cited by: 0; All Open Access, Green Open Access).

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Cordero, Alicia; Ledesma, Arleen; Maimó, Javier G.; Torregrosa, Juan R.

Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations Journal Article

In: AIMS Mathematics, vol. 9, no. 4, pp. 8564-8593, 2024, ISSN: 2473-6988.

Links | BibTeX | Tags: convergence order, iterative method, nonlinear equation, parameter plane, stability analysis

Cordero, Alicia; Ledesma, Arleen; García-Maimó, Javier; Torregrosa, Juan R.

Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations Journal Article

In: AIMS Mathematics, vol. 9, no. 4, pp. 8564 – 8593, 2024.

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Campos, Beatriz; Villalba, Eva G.; Vindel, Pura

Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities Journal Article

In: Computational and Applied Mathematics, vol. 43, no. 4, 2024, (Cited by: 5; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Chicharro, Francisco I.; Garrido-Saez, Neus; Jerezano, Julissa H.; Triguero-Navarro, Paula

Dynamical study of a family for solving nonlinear equations with multiple roots Conference

Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-57681-4.

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Triguero-Navarro, Paula

Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes Journal Article

In: Numerical Algorithms, vol. 97, no. 4, pp. 2011 – 2029, 2024.

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

High-efficiency implicit scheme for solving first-order partial differential equations Journal Article

In: Results in Applied Mathematics, vol. 24, 2024.

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Cordero, Alicia; Leonardo-Sepúlveda, Miguel A.; Torregrosa, Juan R.; Vassileva, María P.

Increasing in three units the order of convergence of iterative methods for solving nonlinear systems Journal Article

In: Mathematics and Computers in Simulation, vol. 223, pp. 509 – 522, 2024.

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Hernández-Verón, M. A.; Hueso, José. L.; Martínez, Eulalia

Influence of symmetric first-order divided differences on Secant-like methods Journal Article

In: Carpathian Journal of Mathematics, vol. 40, no. 1, pp. 47 – 64, 2024, (Cited by: 0).

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Cordero, Alicia; Segura, Elaine; Torregrosa, Juan R.; Vassileva, María P.

Inverse matrix estimations by iterative methods with weight functions and their stability analysis Journal Article

In: Applied Mathematics Letters, vol. 155, 2024.

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Martínez, Eulalia; Ledesma, Arleen

Local Convergence Study for an Iterative Scheme with a High Order of Convergence Journal Article

In: Algorithms, vol. 17, no. 11, 2024, (Cited by: 2; All Open Access, Gold Open Access, Green Open Access).

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Raza, Ali; Ahmed, Nauman; Rafiq, Muhammad; Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.; Torregrosa, Juan R.; Cordero, Alicia; Cortés, Juan C.; Villanueva, Rafael J.

Mathematical modeling and numerical simulation in sciences and engineering Journal Article

In: Modeling Earth Systems and Environment, vol. 10, no. 5, pp. 6309 – 6322, 2024.

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Modifying Kurchatov's method to find multiple roots of nonlinear equations Journal Article

In: Applied Numerical Mathematics, vol. 198, pp. 11 – 21, 2024.

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Arora, Himani; Cordero, Alicia; Torregrosa, Juan R.

On generalized one-step derivative-free iterative family for evaluating multiple roots Journal Article

In: Iranian Journal of Numerical Analysis and Optimization, vol. 14, no. 1, pp. 291 – 314, 2024.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Reduction of execution time in the generation of dynamical planes from iterative methods Conference

24th International Conference on Computational and Mathematical Methods in Science and Engineering, 2024.

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Hernández-Verón, M. A.; Magreñán, Á. A.; Martínez, Eulalia; Villalba, Eva G.

Solving non-differentiable Hammerstein integral equations via first-order divided differences Journal Article

In: Numerical Algorithms, vol. 97, no. 2, pp. 567 – 594, 2024, (Cited by: 2; All Open Access, Green Open Access).

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Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R.

Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes Journal Article

In: Journal of Applied Mathematics and Computing, vol. 70, no. 5, pp. 5023 – 5048, 2024.

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Cordero, Alicia; Reyes, José A.; Torregrosa, Juan R.; Vassileva, María P.

Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations Journal Article

In: Axioms, vol. 13, no. 1, 2024, ISSN: 2075-1680.

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Devi, Kasmita; Maroju, Prashanth; Martínez, Eulalia; Behl, Ramandeep

The Local Convergence of a Three-Step Sixth-Order Iterative Approach with the Basin of Attraction Journal Article

In: Symmetry, vol. 16, no. 6, 2024, (Cited by: 1; All Open Access, Gold Open Access).

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Cordero, Alicia; García-Maimó, Javier; Rodríguez-Cabral, Antmel; Torregrosa, Juan R.

Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems Journal Article

In: Mathematics, vol. 12, no. 21, 2024.

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2023

Kanwar, Vinay; Cordero, Alicia; Torregrosa, Juan R.; Rajput, Mithil; Behl, Ramandeep

A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve Journal Article

In: Algorithms, vol. 16, no. 3, 2023.

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Yaseen, Saima; Zafar, Fiza; Chicharro, Francisco I.

A Seventh Order Family of Jarratt Type Iterative Method for Electrical Power Systems Journal Article

In: vol. 7, no. 4, 2023.

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Yadav, Sonia; Singh, Sukhjit; Hernández-Verón, M. A.; Martínez, Eulalia; Kumar, Ajay; Badoni, R. P.

About the existence and uniqueness of solutions for some second-order nonlinear BVPs Journal Article

In: Applied Mathematics and Computation, vol. 457, 2023, (Cited by: 0; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Hernández-Verón, Miguel Ángel; Magreñán, Ángel Alberto; Martínez, Eulalia; Singh, Sukhjit

An improvement of derivative-free point-to-point iterative processes with central divided differences Journal Article

In: International Journal of Nonlinear Sciences and Numerical Simulation, vol. 24, no. 7, pp. 2781 – 2799, 2023, (Cited by: 0; All Open Access, Green Open Access).

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

An iterative scheme to obtain multiple solutions simultaneously Journal Article

In: Applied Mathematics Letters, vol. 145, 2023.

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Zafar, Fiza; Cordero, Alicia; Ashraf, Ifra; Torregrosa, Juan R.

An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry Journal Article

In: Journal of Mathematical Chemistry, vol. 61, no. 1, pp. 98 – 124, 2023.

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Behl, Ramandeep; Arora, Himani; Martínez, Eulalia; Singh, Tajinder

Approximating Multiple Roots of Applied Mathematical Problems Using Iterative Techniques Journal Article

In: Axioms, vol. 12, no. 3, 2023, (Cited by: 0; All Open Access, Gold Open Access, Green Open Access).

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Cordero, Alicia; Segura, Elaine; Torregrosa, Juan R.

Behind Jarratt's Steps: Is Jarratt's Scheme the Best Version of Itself? Journal Article

In: Discrete Dynamics in Nature and Society, vol. 2023, 2023.

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Capdevila, Raudys R.; Cordero, Alicia; Torregrosa, Juan R.

Convergence and dynamical study of a new sixth order convergence iterative scheme for solving nonlinear systems Journal Article

In: AIMS Mathematics, vol. 8, no. 6, pp. 12751 – 12777, 2023.

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Cordero, Alicia; García-Maimó, Javier; Rodríguez-Cabral, Antmel; Torregrosa, Juan R.

Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems Journal Article

In: Algorithms, vol. 16, no. 3, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Journal Article

In: Fractal and Fractional, vol. 7, no. 8, 2023.

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Design of iterative methods with memory for solving nonlinear systems Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 46, no. 12, pp. 12361 – 12377, 2023.

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Du, Wei-Shih; Cordero, Alicia; Huang, Huaping; Torregrosa, Juan R.

Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications” Journal Article

In: Symmetry, vol. 15, no. 6, 2023.

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Cordero, Alicia; Leonardo-Sepúlveda, Miguel A.; Torregrosa, Juan R.; Vassileva, María P.

Enhancing the Convergence Order from p to p + 3 in Iterative Methods for Solving Nonlinear Systems of Equations without the Use of Jacobian Matrices Journal Article

In: Mathematics, vol. 11, no. 20, 2023.

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Chicharro, Francisco I.; Garrido, Neus; Jerezano, Julissa H.; Pérez-Palau, Daniel

Family of fourth-order optimal classes for solving multiple-root nonlinear equations Journal Article

In: vol. 61, no. 4, pp. 736 – 760, 2023.

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Cordero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa, Juan R.; Vassileva, María P.

Fractal Complexity of a New Biparametric Family of Fourth Optimal Order Based on the Ermakov–Kalitkin Scheme Journal Article

In: Fractal and Fractional, vol. 7, no. 6, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Generalized conformable fractional Newton-type method for solving nonlinear systems Journal Article

In: Numerical Algorithms, vol. 93, no. 3, pp. 1171 – 1208, 2023.

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Villalba, Eva G.; Hueso, José L.; Martínez, Eulalia

Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device Journal Article

In: International Journal of Computer Mathematics, vol. 100, no. 9, pp. 1839 – 1859, 2023, (Cited by: 1).

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory Journal Article

In: Mathematics, vol. 11, no. 14, 2023.

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Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

IMPROVING THE ORDER OF A FIFTH-ORDER FAMILY OF VECTORIAL FIXED POINT SCHEMES BY INTRODUCING MEMORY Journal Article

In: Fixed Point Theory, vol. 24, no. 1, pp. 155 – 172, 2023, (Cited by: 1; All Open Access, Gold Open Access).

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Cordero, Alicia; Villalba, Eva G.; Torregrosa, Juan R.; Triguero-Navarro, Paula

Introducing memory to a family of multi-step multidimensional iterative methods with weight function Journal Article

In: Expositiones Mathematicae, vol. 41, no. 2, pp. 398 – 417, 2023.

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Hernández-Verón, M. A.; Yadav, Nisha; Martínez, Eulalia; Singh, Sukhjit

Kurchatov-type methods for non-differentiable Hammerstein-type integral equations Journal Article

In: Numerical Algorithms, vol. 93, no. 1, pp. 131 – 155, 2023, (Cited by: 3; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Memory in the iterative processes for nonlinear problems Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 46, no. 4, pp. 4145 – 4158, 2023.

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Ceesay, Baboucarr; Baber, Muhammad Zafarullah; Ahmed, Nauman; Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.

Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota’s Bilinear Technique Journal Article

In: Symmetry, vol. 15, no. 9, 2023.

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Padilla, José J.; Chicharro, Francisco I.; Cordero, Alicia; Hernández-Díaz, Alejandro M.; Torregrosa, Juan R.

Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots Journal Article

In: Mathematics, vol. 11, no. 15, 2023.

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Moscoso-Martínez, Marlon; Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Performance of a New Sixth-Order Class of Iterative Schemes for Solving Non-Linear Systems of Equations Journal Article

In: Mathematics, vol. 11, no. 6, 2023.

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Cordero, Alicia; Neta, Beny; Torregrosa, Juan R.

Reasons for stability in the construction of derivative-free multistep iterative methods Journal Article

In: Mathematical Methods in the Applied Sciences, 2023.

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Villalba, Eva G.; Martínez, Eulalia; Triguero-Navarro, Paula

Semilocal Convergence of a Multi-Step Parametric Family of Iterative Methods Journal Article

In: Symmetry, vol. 15, no. 2, 2023, (Cited by: 0; All Open Access, Gold Open Access, Green Open Access).

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Chinesta, Francisco; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Simultaneous roots for vectorial problems Journal Article

In: Computational and Applied Mathematics, vol. 42, no. 5, 2023.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach Journal Article

In: Mathematics, vol. 11, no. 11, 2023.

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Three-step iterative weight function scheme with memory for solving nonlinear problems Journal Article

In: Mathematical Methods in the Applied Sciences, 2023.

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2022

Kumar, Sunil; Behl, Ramandeep; Martínez, Eulalia; Mallawi, Fouad; Alharbi, Sattam

A Family of Derivative Free Algorithms for Multiple-Roots of Van der Waals Problem Journal Article

In: Symmetry, vol. 14, no. 3, 2022, (Cited by: 1; All Open Access, Gold Open Access, Green Open Access).

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Behl, Ramandeep; Cordero, Alicia; Torregrosa, Juan R.

A new higher-order optimal derivative free scheme for multiple roots Journal Article

In: Journal of Computational and Applied Mathematics, vol. 404, 2022.

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Hernández-Verón, Miguel A.; Yadav, Sonia; Magreñán, Ángel Alberto; Martínez, Eulalia; Singh, Sukhjit

An algorithm derivative-free to improve the steffensen-type methods Journal Article

In: Symmetry, vol. 14, no. 1, 2022, (Cited by: 1; All Open Access, Gold Open Access, Green Open Access).

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Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, Á. Alberto; Martínez, Eulalia; Singh, Sukhjit

An improvement of the Kurchatov method by means of a parametric modification Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 45, no. 11, pp. 6844 – 6860, 2022, (Cited by: 5; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Journal Article

In: Applied Mathematics Letters, vol. 124, 2022.

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Arora, Himani; Cordero, Alicia; Torregrosa, Juan R.; Behl, Ramandeep; Alharbi, Sattam

Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions Journal Article

In: Mathematics, vol. 10, no. 9, 2022.

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Dynamical analysis of an iterative method with memory on a family of third-degree polynomials Journal Article

In: AIMS Mathematics, vol. 7, no. 4, pp. 6445 – 6466, 2022.

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Cordero, Alicia; Leonardo-Sepúlveda, Miguel A.; Torregrosa, Juan R.

Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods Journal Article

In: Algorithms, vol. 15, no. 10, 2022.

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Behl, Ramandeep; Argyros, Ioannis K.; Martínez, Eulalia; Joshi, Janak

Extended convergence for a fifth-order novel scheme free from derivatives Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 45, no. 6, pp. 3295 – 3304, 2022, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access).

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Behl, Ramandeep; Cordero, Alicia; Torregrosa, Juan R.

High order family of multivariate iterative methods: Convergence and stability Journal Article

In: Journal of Computational and Applied Mathematics, vol. 405, 2022.

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Capdevila, Raudys R.; Cordero, Alicia; Torregrosa, Juan R.

Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 45, no. 6, pp. 3360 – 3375, 2022.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Iterative processes with fractional derivatives Book Chapter

In: Radwan, Ahmed G.; Khanday, Farooq Ahmad; Said, Lobna A. (Ed.): 2022, ISBN: 978-0-323-90089-8, (Publication Title: Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control).

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Iterative schemes for finding all roots simultaneously of nonlinear equations Journal Article

In: Applied Mathematics Letters, vol. 134, 2022.

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Hernández-Verón, M. A.; Martínez, Eulalia

Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials Journal Article

In: Journal of Computational and Applied Mathematics, vol. 404, 2022, (Cited by: 2; All Open Access, Bronze Open Access, Green Open Access).

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Cordero, Alicia; Iqbal, Smmayya; Torregrosa, Juan R.; Zafar, Fiza

New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction Journal Article

In: Symmetry, vol. 14, no. 8, 2022.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

On the effect of the multidimensional weight functions on the stability of iterative processes Journal Article

In: Journal of Computational and Applied Mathematics, vol. 405, 2022.

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Padilla, José J.; Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction Journal Article

In: Fractal and Fractional, vol. 6, no. 10, 2022.

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Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.; Triguero-Navarro, Paula

Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory Journal Article

In: Symmetry, vol. 14, no. 3, 2022.

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Hernández-Verón, M. A.; Yadav, Sonia; Magreñán, Á. A.; Martínez, Eulalia; Singh, Sukhjit

Toward a Unified Theory of Inverse-free Two-Step Point-to-point Iterative Processes Conference

vol. 2425, 2022, (Cited by: 0).

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2021

Cordero, Alicia; Soto-Quiros, Pablo; Torregrosa, Juan R.

A general class of arbitrary order iterative methods for computing generalized inverses Journal Article

In: Applied Mathematics and Computation, vol. 409, 2021.

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Cordero, Alicia; Torregrosa, Juan R.; Triguero-Navarro, Paula

A general optimal iterative scheme with arbitrary order of convergence Journal Article

In: Symmetry, vol. 13, no. 5, 2021.

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Behl, Ramandeep; Cordero, Alicia; Torregrosa, Juan R.; Bhalla, Sonia

A new high-order jacobian-free iterative method with memory for solving nonlinear systems Journal Article

In: Mathematics, vol. 9, no. 17, 2021.

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Cordero, Alicia; Moscoso-Martínez, Marlon; Torregrosa, Juan R.

Chaos and stability in a new iterative family for solving nonlinear equations Journal Article

In: Algorithms, vol. 14, no. 4, 2021.

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Kumar, Abhimanyua; Gupta, D. K.; Martínez, Eulalia; Hueso, José L.

Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators Journal Article

In: Numerical Algorithms, vol. 86, no. 3, pp. 1051 – 1070, 2021, (Cited by: 9; All Open Access, Bronze Open Access, Green Open Access).

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Cordero, Alicia; Villalba, Eva G.; Torregrosa, Juan R.; Triguero-Navarro, Paula

Convergence and stability of a parametric class of iterative schemes for solving nonlinear systems Journal Article

In: Mathematics, vol. 9, no. 1, pp. 1 – 18, 2021.

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Behl, Ramandeep; Bhalla, Sonia; Martínez, Eulalia; Alsulami, Majed Aali

Derivative-free king’s scheme for multiple zeros of nonlinear functions Journal Article

In: Mathematics, vol. 9, no. 11, 2021, (Cited by: 11; All Open Access, Gold Open Access, Green Open Access).

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Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R.

Design, convergence and stability of a fourth-order class of iterative methods for solving nonlinear vectorial problems Journal Article

In: Fractal and Fractional, vol. 5, no. 3, 2021.

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Cordero, Alicia; Neta, Beny; Torregrosa, Juan R.

Memorizing schröder’s method as an efficient strategy for estimating roots of unknown multiplicity Journal Article

In: Mathematics, vol. 9, no. 20, 2021.

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Kansal, Munish; Cordero, Alicia; Bhalla, Sonia; Torregrosa, Juan R.

New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis Journal Article

In: Numerical Algorithms, vol. 87, no. 3, pp. 1017 – 1060, 2021.

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Hernández-Verón, Miguel A.; Martínez, Eulalia; Singh, Sukhjit

On the Chandrasekhar integral equation Journal Article

In: Computational and Mathematical Methods, vol. 3, no. 6, 2021, (Cited by: 5; All Open Access, Bronze Open Access, Green Open Access).

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Gupta, Dharmendra Kumar; Martínez, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu

Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative Journal Article

In: International Journal of Nonlinear Sciences and Numerical Simulation, vol. 22, no. 3-4, pp. 267 – 285, 2021, (Cited by: 0; All Open Access, Green Open Access).

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Cordero, Alicia; García-Maimó, Javier; Martínez, Eulalia; Torregrosa, Juan R.; Vassileva, María P.

Semilocal convergence of the extension of chun’s method Journal Article

In: Axioms, vol. 10, no. 3, 2021.

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Hernández-Verón, M. A.; Yadav, Sonia; Martínez, Eulalia; Singh, Sukhjit

Solving nonlinear integral equations with non-separable kernel via a high-order iterative process Journal Article

In: Applied Mathematics and Computation, vol. 409, 2021, (Cited by: 4; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Jordán, Cristina; Murillo-Arcila, Marina; Torregrosa, Juan R.

The stem methodology and graph theory: Some practical examples Journal Article

In: Mathematics, vol. 9, no. 23, 2021.

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2020

Chicharro, Francisco I.; Contreras, Rafael A.; Garrido, Neus

A family of multiple-root finding iterative methods based on weight functions Journal Article

In: vol. 8, no. 12, pp. 1 – 17, 2020.

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Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R.

A family of optimal fourth-order methods for multiple roots of nonlinear equations Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 14, pp. 7869 – 7884, 2020.

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Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel A.; Magreñán, Á. Alberto; Martínez, Eulalia

A multistep Steffensen-type method for solving nonlinear systems of equations Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 13, pp. 7518 – 7536, 2020, (Cited by: 3; All Open Access, Bronze Open Access, Green Open Access).

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Behl, Ramandeep; Martínez, Eulalia

A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models Journal Article

In: Complexity, vol. 2020, 2020, (Cited by: 17; All Open Access, Gold Open Access, Green Open Access).

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Kansal, Munish; Cordero, Alicia; Torregrosa, Juan R.; Bhalla, Sonia

A stable class of modified Newton-like methods for multiple roots and their dynamics Journal Article

In: International Journal of Nonlinear Sciences and Numerical Simulation, vol. 21, no. 6, pp. 603 – 621, 2020.

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Singh, Sukjith; Martínez, Eulalia; Maroju, P.; Behl, Ramandeep

A study of the local convergence of a fifth order iterative method Journal Article

In: Indian Journal of Pure and Applied Mathematics, vol. 51, no. 2, pp. 439 – 455, 2020, (Cited by: 22; All Open Access, Bronze Open Access, Green Open Access).

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Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.; Martínez, Eulalia

A unified convergence analysis for single step-type methods for non-smooth operators Journal Article

In: Journal of Computational Analysis and Applications, vol. 29, no. 2, pp. 327 – 343, 2020, (Cited by: 0).

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Geiser, Jürgen; Hueso, Jose L.; Martínez, Eulalia

Adaptive iterative splitting methods for convection-diffusion-reaction equations Journal Article

In: Mathematics, vol. 8, no. 3, 2020, (Cited by: 4; All Open Access, Gold Open Access, Green Open Access).

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Alarcón, Diego; Hueso, Jose L.; Martínez, Eulalia

An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown Journal Article

In: International Journal of Computer Mathematics, vol. 97, no. 1-2, pp. 312 – 329, 2020, (Cited by: 1; All Open Access, Green Open Access).

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Anomalies in the convergence of Traub-type methods with memory Journal Article

In: Computational and Mathematical Methods, vol. 2, no. 1, 2020.

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Chicharro, Francisco I.; Cordero, Alicia; Martínez, Tobías H.; Torregrosa, Juan R.

CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems Journal Article

In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 555 – 572, 2020.

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Chicharro, Francisco I.; Cordero, Alicia; Martínez, Tobías H.; Torregrosa, Juan R.

Correction to: Mean-based iterative methods for solving nonlinear chemistry problems (Journal of Mathematical Chemistry, (2020), 58, 3, (555-572), 10.1007/s10910-019-01085-2) Journal Article

In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 573, 2020.

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Singh, Sukhjit; Martínez, Eulalia; Kumar, Abhimanyu; Gupta, D. K.

Domain of existence and uniqueness for nonlinear hammerstein integral equations Journal Article

In: Mathematics, vol. 8, no. 3, 2020, (Cited by: 1; All Open Access, Gold Open Access, Green Open Access).

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Cevallos, Fabricio; Hueso, José L.; Martínez, Eulalia; Howk, Cory L.

Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 14, pp. 7934 – 7947, 2020, (Cited by: 0; All Open Access, Bronze Open Access, Green Open Access).

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Generalized inverses estimations by means of iterative methods with memory Journal Article

In: Mathematics, vol. 8, no. 1, 2020.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Impact on stability by the use of memory in traub-type schemes Journal Article

In: Mathematics, vol. 8, no. 2, 2020.

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Gutiérrez, José Manuel; Hernández-Verón, Miguel Ángel; Martínez, Eulalia

Improved iterative solution of linear fredholm integral equations of second kind via inverse-free iterative schemes Journal Article

In: Mathematics, vol. 8, no. 10, pp. 1 – 13, 2020, (Cited by: 5; All Open Access, Gold Open Access, Green Open Access).

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Hernández-Verón, M. A.; Ibáñez, María; Martínez, Eulalia; Singh, Sukhjit

Localization and separation of solutions for Fredholm integral equations Journal Article

In: Journal of Mathematical Analysis and Applications, vol. 487, no. 2, 2020, (Cited by: 2; All Open Access, Green Open Access).

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Kansal, Munish; Cordero, Alicia; Bhalla, Sonia; Torregrosa, Juan R.

Memory in a new variant of king's family for solving nonlinear systems Journal Article

In: Mathematics, vol. 8, no. 8, 2020.

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Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.

Multipoint fractional iterative methods with (2α+1)th-order of convergence for solving nonlinear problems Journal Article

In: Mathematics, vol. 8, no. 3, 2020.

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Hernández-Verón, M. A.; Martínez, Eulalia

On nonlinear Fredholm integral equations with non-differentiable Nemystkii operator Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 14, pp. 7961 – 7976, 2020, (Cited by: 5; All Open Access, Green Open Access).

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

On the choice of the best members of the Kim family and the improvement of its convergence Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 14, pp. 8051 – 8066, 2020.

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Chand, Prem B.; Chicharro, Francisco I.; Jain, Pankaj

On the design and analysis of high-order Weerakoon-Fernando methods based on weight functions Journal Article

In: vol. 2, no. 5, 2020.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory Journal Article

In: Applied Mathematics Letters, vol. 104, 2020.

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Zafar, Fiza; Cordero, Alicia; Junjua, Moin-Ud-Din; Torregrosa, Juan R.

Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions Journal Article

In: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, vol. 114, no. 2, 2020.

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Geiser, Jürgen; Hueso, José L.; Martínez, Eulalia

Parallel iterative splitting methods: Algorithms and applications Conference

vol. 2293, 2020, (Cited by: 1).

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Chicharro, Francisco I.; Garrido, Neus

Problem-based learning proposal for teaching dynamical systems Book

2020.

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Orcos, L.; Cordero, Alicia; Jordán, Cristina; Magreñán, Á Alberto; Sanabria-Codesal, Esther; Torregrosa, Juan R.

Reverse teaching as a methodological strategy for mathematics learning in higher education Book

2020, (Publication Title: Didactics of Mathematics: New Trends and Experiences).

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Geiser, Jürgen; Martínez, Eulalia; Hueso, Jose L.

Serial and parallel iterative splitting methods: Algorithms and applications to fractional convection-diffusion equations Journal Article

In: Mathematics, vol. 8, no. 11, pp. 1 – 42, 2020, (Cited by: 2; All Open Access, Gold Open Access, Green Open Access).

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Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.

Solutions of fractional gas dynamics equation by a new technique Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 43, no. 3, pp. 1349 – 1358, 2020.

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Cordero, Alicia; Ramos, Higinio; Torregrosa, Juan R.

Some variants of Halley’s method with memory and their applications for solving several chemical problems Journal Article

In: Journal of Mathematical Chemistry, vol. 58, no. 4, pp. 751 – 774, 2020.

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2019

Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R.; Rafi, Aneeqa

A class of four parametric with- and without-memory root finding methods Journal Article

In: Computational and Mathematical Methods, vol. 1, no. 3, 2019.

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Cordero, Alicia; Franceschi, Jonathan; Torregrosa, Juan R.; Zagati, Anna C.

A convex combination approach for mean-based variants of Newton's method Journal Article

In: Symmetry, vol. 11, no. 9, 2019.

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Amiri, Abdolreza; Cordero, Alicia; Darvishi, Mohammad Taghi; Torregrosa, Juan R.

A fast algorithm to solve systems of nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 354, pp. 242 – 258, 2019.

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Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R.

A fractional Newton method with 2αth-order of convergence and its stability Journal Article

In: Applied Mathematics Letters, vol. 98, pp. 344 – 351, 2019.

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Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R.; Rafi, Aneeqa

A general class of four parametric with- and without memory iterative methods for nonlinear equations Journal Article

In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1448 – 1471, 2019.

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Behl, Ramandeep; Martínez, Eulalia; Cevallos, Fabricio; Alarcón, Diego

A higher order Chebyshev-Halley-type family of iterative methods for multiple roots Journal Article

In: Mathematics, vol. 7, no. 4, 2019, (Cited by: 3; All Open Access, Gold Open Access, Green Open Access).

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Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R.

A new class of iterative processes for solving nonlinear systems by using one divided differences operator Journal Article

In: Mathematics, vol. 7, no. 9, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

A new efficient parametric family of iterative methods for solving nonlinear systems Journal Article

In: Journal of Difference Equations and Applications, vol. 25, no. 9-10, pp. 1454 – 1467, 2019.

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Capdevila, Raudys R.; Cordero, Alicia; Torregrosa, Juan R.

A new three-step class of iterative methods for solving nonlinear systems Journal Article

In: Mathematics, vol. 7, no. 12, 2019.

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Bahl, Ashu; Cordero, Alicia; Sharma, Rajni; Torregrosa, Juan R.

A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics Journal Article

In: Applied Mathematics and Computation, vol. 357, pp. 147 – 166, 2019.

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Cordero, Alicia; Girona, Ivan; Torregrosa, Juan R.

A variant of Chebyshev's method with 3αth-order of convergence by using fractional derivatives Journal Article

In: Symmetry, vol. 11, no. 8, 2019.

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Amiri, Abdolreza; Darvishi, Mohammad Taghi; Cordero, Alicia; Torregrosa, Juan R.

An efficient iterative method based on two-stage splitting methods to solve weakly nonlinear systems Journal Article

In: Mathematics, vol. 7, no. 9, 2019.

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Cordero, Alicia; Torregrosa, Juan R.; Zafar, Fiza

Approximating the inverse and the Moore-Penrose inverse of complex matrices Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 42, no. 17, pp. 5920 – 5928, 2019.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 208 – 215, 2019.

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Chand, Prem B.; Chicharro, Francisco I.; Garrido, Neus; Jain, Pankaj

Design and complex dynamics of potra-pták-type optimal methods for solving nonlinear equations and its applications Journal Article

In: vol. 7, no. 10, 2019.

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Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Dynamical analysis to explain the numerical anomalies in the family of ermakov-kalitkin type methods Journal Article

In: Mathematical Modelling and Analysis, vol. 24, no. 3, pp. 335 – 350, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Dynamics of iterative families with memory based on weight functions procedure Journal Article

In: Journal of Computational and Applied Mathematics, vol. 354, pp. 286 – 298, 2019.

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Cordero, Alicia; Giménez, Ivan; Torregrosa, Juan R.

Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 185 – 192, 2019.

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Cordero, Alicia; Guasp, Lucía; Torregrosa, Juan R.

Fixed point root-finding methods of fourth-order of convergence Journal Article

In: Symmetry, vol. 11, no. 6, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Generalized high-order classes for solving nonlinear systems and their applications Journal Article

In: Mathematics, vol. 7, no. 12, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Generating root-finder iterative methods of second order: Convergence and stability Journal Article

In: Axioms, vol. 8, no. 2, 2019.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Iterative methods with memory for solving systems of nonlinear equations using a second order approximation Journal Article

In: Mathematics, vol. 7, no. 11, 2019.

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Gupta, Dharmendra Kumar; Martínez, Eulalia; Kumar, Abhimanyu; Hueso, José L.

Local Convergence and Dynamics of a Family of Iterative Methods for Multiple Roots of Nonlinear Equations Journal Article

In: Vietnam Journal of Mathematics, vol. 47, no. 2, pp. 367 – 386, 2019, (Cited by: 1).

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Behl, Ramandeep; Martínez, Eulalia; Cevallos, Fabricio; Alshomrani, Ali S.

Local Convergence Balls for Nonlinear Problems with Multiplicity and Their Extension to Eighth-Order Convergence Journal Article

In: Mathematical Problems in Engineering, vol. 2019, 2019, (Cited by: 2; All Open Access, Green Open Access, Hybrid Gold Open Access).

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Behl, Ramandeep; Martínez, Eulalia; Cevallos, Fabricio; Alshomrani, Ali Saleh

Local Convergence Results for an Optimal Iterative Method for Multiple Roots Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 153 – 158, 2019, (Cited by: 0).

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional Real Dynamics for High-Order Processes Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 201 – 207, 2019.

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Hueso, José L.; Martínez, Eulalia; Teruel, Carles

Multipoint efficient iterative methods and the dynamics of Ostrowski's method Journal Article

In: International Journal of Computer Mathematics, vol. 96, no. 9, pp. 1687 – 1701, 2019, (Cited by: 5; All Open Access, Green Open Access).

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Chand, Prem Bahadur; Chicharro, Francisco I.; Jain, Pankaj; Sethi, Kriti

Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics Journal Article

In: vol. 16, no. 3, 2019.

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Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R.

Stability analysis of a family of optimal fourth-order methods for multiple roots Journal Article

In: Numerical Algorithms, vol. 81, no. 3, pp. 947 – 981, 2019.

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Amiri, A. R.; Cordero, Alicia; Darvishi, M. T.; Torregrosa, Juan R.

Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences Journal Article

In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1344 – 1373, 2019.

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Amiri, Abdolreza; Cordero, Alicia; Darvishi, Mohammad Taghi; Torregrosa, Juan R.

Stability analysis of Jacobian-free Newton's iterative method Journal Article

In: Algorithms, vol. 12, no. 11, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Stability and applicability of iterative methods with memory Journal Article

In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1282 – 1300, 2019.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Stability anomalies of some jacobian-free iterative methods of high order of convergence Journal Article

In: Axioms, vol. 8, no. 2, 2019.

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Cordero, Alicia; Guasp, Lucía; Torregrosa, Juan R.

Stability of a Family of Iterative Methods of Fourth-Order Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 193 – 200, 2019.

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Chicharro, Francisco I.; Giménez, Elena; Sarria, Íñigo

The enhancement of academic performance in online environments Journal Article

In: vol. 7, no. 12, 2019.

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Chicharro, Francisco I.; Cordero, Alicia; Garrido-Saez, Neus; Torregrosa, Juan R.

Wide stability in a new family of optimal fourth-order iterative methods Journal Article

In: Computational and Mathematical Methods, vol. 1, no. 2, 2019.

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2018

Howk, Cory L.; Hueso, José L.; Martínez, Eulalia; Teruel, Carles

A class of efficient high-order iterative methods with memory for nonlinear equations and their dynamics Journal Article

In: Mathematical Methods in the Applied Sciences, vol. 41, no. 17, pp. 7263 – 7282, 2018, (Cited by: 9; All Open Access, Bronze Open Access, Green Open Access).

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Hueso, José L.; Martínez, Eulalia; Gupta, D. K.; Cevallos, Fabricio

A note on “Convergence radius of Osada's method under Hölder continuous condition” Journal Article

In: Applied Mathematics and Computation, vol. 321, pp. 689 – 699, 2018, (Cited by: 0; All Open Access, Bronze Open Access, Green Open Access).

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Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R.

An efficient family of optimal eighth-order multiple root finders Journal Article

In: Mathematics, vol. 6, no. 12, 2018.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.

An eighth-order family of optimal multiple root finders and its dynamics Journal Article

In: Numerical Algorithms, vol. 77, no. 4, pp. 1249 – 1272, 2018.

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Sekkiou, Imene; Chicharro, Francisco I.; Ortega, Beatriz; Mora, José

Bidirectional WDM-OOFDM access network based on a sliceable optical transceiver with colorless ONUs Journal Article

In: vol. 45, pp. 98 – 105, 2018.

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Cordero, Alicia; Guasp, Lucia; Torregrosa, Juan R.

Choosing the most stable members of Kou's family of iterative methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 330, pp. 759 – 769, 2018.

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Cordero, Alicia; Guasp, Lucía; Torregrosa, Juan R.

CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior Journal Article

In: Journal of Mathematical Chemistry, vol. 56, no. 7, pp. 1902 – 1923, 2018.

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Kumar, Abhimanyu; Gupta, Dharmendra K.; Martínez, Eulalia; Singh, Sukhjit

Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces Journal Article

In: Complexity, vol. 2018, 2018, (Cited by: 2; All Open Access, Gold Open Access, Green Open Access).

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Singh, Sukhjit; Gupta, Dharmendra Kumar; Singh, Randhir; Singh, Mehakpreet; Martinez, Eulalia

Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces Journal Article

In: International Journal of Computational Methods, vol. 15, no. 6, 2018, (Cited by: 3; All Open Access, Green Open Access).

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Kumar, Abhimanyu; Gupta, D. K.; Martinez, Eulalia; Singh, Sukhjit

Directional k-Step Newton Methods in n Variables and its Semilocal Convergence Analysis Journal Article

In: Mediterranean Journal of Mathematics, vol. 15, no. 2, 2018, (Cited by: 2; All Open Access, Green Open Access).

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Vázquez-Lozano, J. Enrique; Cordero, Alicia; Torregrosa, Juan R.

Dynamical analysis on cubic polynomials of Damped Traub's method for approximating multiple roots Journal Article

In: Applied Mathematics and Computation, vol. 328, pp. 82 – 99, 2018.

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Choubey, Neha; Cordero, Alicia; Jaiswal, J. P.; Torregrosa, Juan R.

Dynamical techniques for analyzing iterative schemes with memory Journal Article

In: Complexity, vol. 2018, 2018.

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Cordero, Alicia; Junjua, Moin-Ud-Din; Torregrosa, Juan R.; Yasmin, Nusrat; Zafar, Fiza

Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices Journal Article

In: Mathematical Problems in Engineering, vol. 2018, 2018.

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Choubey, Neha; Cordero, Alicia; Jaiswal, J. P.; Torregrosa, Juan R.

Erratum: Dynamical Techniques for Analyzing Iterative Schemes with Memory (Complexity (2018) 2018 (1232341) DOI: 10.1155/2018/1232341) Journal Article

In: Complexity, vol. 2018, 2018.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

High-order extension of an efficient iterative method for solving nonlinear problems Proceedings Article

In: AIP Conference Proceedings, 2018.

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Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R.

Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5 Journal Article

In: Journal of Computational and Applied Mathematics, vol. 330, pp. 748 – 758, 2018.

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Hernández-Verón, M. A.; Martínez, Eulalia

Improving the accessibility of Steffensen's method by decomposition of operators Journal Article

In: Journal of Computational and Applied Mathematics, vol. 330, pp. 536 – 552, 2018, (Cited by: 3; All Open Access, Green Open Access).

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Martínez, Eulalia; Hueso, Jose L.; Alarcón, Diego

Local convergence study for multiple roots. Estimating the multiplicity Conference

vol. 1978, 2018, (Cited by: 0).

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Jodar, Lucas; Torregrosa, Juan R.; Cortés, Juan C.; Criado, Regino

Mathematical modeling and computational methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 330, pp. 661 – 665, 2018.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.

Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations Journal Article

In: Nonlinear Dynamics, vol. 91, no. 1, pp. 81 – 112, 2018.

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Behl, Ramandeep; Cordero, Alicia; Torregrosa, Juan R.; Alshomrani, Ali S.

New iterative methods for solving nonlinear problems with one and several unknowns Journal Article

In: Mathematics, vol. 6, no. 12, 2018.

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Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E.

On the local convergence study for an efficient k-step iterative method Journal Article

In: Journal of Computational and Applied Mathematics, vol. 343, pp. 753 – 761, 2018, (Cited by: 32; All Open Access, Green Open Access).

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Zafar, Fiza; Cordero, Alicia; Quratulain, R.; Torregrosa, Juan R.

Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters Journal Article

In: Journal of Mathematical Chemistry, vol. 56, no. 7, pp. 1884 – 1901, 2018.

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Zafar, Fiza; Cordero, Alicia; Sultana, Sana; Torregrosa, Juan R.

Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics Journal Article

In: Journal of Computational and Applied Mathematics, vol. 342, pp. 352 – 374, 2018.

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Cordero, Alicia; Magreñán, Á Alberto; Torregrosa, Juan R.

Preface of the "iterative Procedures for Solving Nonlinear Problems" Proceedings Article

In: AIP Conference Proceedings, 2018.

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Amiri, Abdolreza; Cordero, Alicia; Darvishi, M. T.; Torregrosa, Juan R.

Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems Journal Article

In: Journal of Computational and Applied Mathematics, vol. 337, pp. 87 – 97, 2018.

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Kumar, Abhimanyu; Gupta, D. K.; Martínez, Eulalia; Singh, Sukhjit

Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces Journal Article

In: Journal of Computational and Applied Mathematics, vol. 330, pp. 732 – 741, 2018, (Cited by: 13; All Open Access, Green Open Access).

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Albarracín, Luis; Sekkiou, Imene; Ortega, Beatriz; Chicharro, Francisco; Mora, José; Puerto, Gustavo

Software assisted energy efficient and flexible wdm-pon access networks Journal Article

In: vol. 915, pp. 588 – 595, 2018.

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Amiri, Abdolreza; Cordero, Alicia; Darvishi, M. T.; Torregrosa, Juan R.

Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems Journal Article

In: Applied Mathematics and Computation, vol. 323, pp. 43 – 57, 2018.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Stability of different families of iterative methods with memory Proceedings Article

In: AIP Conference Proceedings, 2018.

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2017

Cordero, Alicia; Jordán, Cristina; Torregrosa, Juan R.

A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory? Journal Article

In: Journal of Computational and Applied Mathematics, vol. 318, pp. 335 – 347, 2017.

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Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Haghani, F. Khaksar

A family of Kurchatov-type methods and its stability Journal Article

In: Applied Mathematics and Computation, vol. 294, pp. 264 – 279, 2017.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016 Journal Article

In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1443 – 1460, 2017.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.

A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations Journal Article

In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 60, no. 2, pp. 127 – 140, 2017.

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Cordero, Alicia; Torregrosa, Juan R.

A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix Journal Article

In: Journal of Computational and Applied Mathematics, vol. 318, pp. 591 – 598, 2017.

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Chicharro, F. I.; Ortega, B.; Diego, M. De; Mora, J.

Broadband Optical Sources for Low-Cost WDM-MB-OFDM Networks Journal Article

In: vol. 21, no. 8, pp. 1759 – 1762, 2017.

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Design and multidimensional extension of iterative methods for solving nonlinear problems Journal Article

In: Applied Mathematics and Computation, vol. 293, pp. 194 – 203, 2017.

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Cordero, Alicia; Gómez, Esther; Torregrosa, Juan R.

Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems Journal Article

In: Complexity, vol. 2017, 2017.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

King-type derivative-free iterative families: Real and memory dynamics Journal Article

In: Complexity, vol. 2017, 2017.

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Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez, E.; Hueso, José L.

Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces Journal Article

In: Calcolo, vol. 54, no. 2, pp. 527 – 539, 2017, (Cited by: 27; All Open Access, Bronze Open Access, Green Open Access).

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Torregrosa, Juan R.; Jodar, Lucas; Cortés, Juan C.; Criado, Regino

Mathematical Modeling and Computational Methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 309, pp. 320 – 324, 2017.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016 Journal Article

In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1461 – 1480, 2017.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants Journal Article

In: Discrete Dynamics in Nature and Society, vol. 2017, 2017.

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Geiser, Jürgen; Hueso, José L.; Martínez, Eulalia

New versions of iterative splitting methods for the momentum equation Journal Article

In: Journal of Computational and Applied Mathematics, vol. 309, pp. 359 – 370, 2017, (Cited by: 9; All Open Access, Green Open Access).

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Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Ullah, M. Zaka

Numerically stable improved Chebyshev–Halley type schemes for matrix sign function Journal Article

In: Journal of Computational and Applied Mathematics, vol. 318, pp. 189 – 198, 2017.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

On optimal gaussian preliminary orbit determination by using a generalized class of iterative methods Book

2017, (Publication Title: Mathematical Research Summaries).

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Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Á Alberto; Torregrosa, Juan R.

On the convergence of a higher order family of methods and its dynamics Journal Article

In: Journal of Computational and Applied Mathematics, vol. 309, pp. 542 – 562, 2017.

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Perez, J.; Chicharro, F. I.; Ortega, B.; Mora, J.

On the evaluation of an optical OFDM radio over FSO system with IM-DD for high-speed indoor communications Conference

2017.

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Chicharro, F. I.; Ortega, B.; Diego, M. De; Mora, J.

OOFDM Signal Transmission Using a Single Optical Broadband Source Journal Article

In: vol. 29, no. 7, pp. 563 – 566, 2017.

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Chicharro, Francisco I.; Ortega, Beatriz; Diego, Maria De; Mora, Jose

Reconfigurable optical OFDM signal transmitter based on sliced ASE source for DD MB-OFDM next generation WDM access networks Conference

2017.

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Hernández-Verón, M. A.; Martínez, Eulalia; Teruel, Carles

Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems Journal Article

In: Numerical Algorithms, vol. 76, no. 2, pp. 309 – 331, 2017, (Cited by: 23; All Open Access, Green Open Access).

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Stability of a fourth order bi-parametric family of iterative methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 312, pp. 94 – 102, 2017.

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Stability of King's family of iterative methods with memory Journal Article

In: Journal of Computational and Applied Mathematics, vol. 318, pp. 504 – 514, 2017.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.

Stable high-order iterative methods for solving nonlinear models Journal Article

In: Applied Mathematics and Computation, vol. 303, pp. 70 – 88, 2017.

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Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Á Alberto; Torregrosa, Juan R.

Third-degree anomalies of Traub's method Journal Article

In: Journal of Computational and Applied Mathematics, vol. 309, pp. 511 – 521, 2017.

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Bakhtiari, Parisa; Cordero, Alicia; Lotfi, Taher; Mahdiani, Kathayoun; Torregrosa, Juan R.

Widening basins of attraction of optimal iterative methods Journal Article

In: Nonlinear Dynamics, vol. 87, no. 2, pp. 913 – 938, 2017.

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2016

Cordero, Alicia; Kansal, Munish; Kanwar, Vinay; Torregrosa, Juan R.

A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence Journal Article

In: Numerical Algorithms, vol. 72, no. 4, pp. 937 – 958, 2016.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.; Kanwar, Vinay

An optimal fourth-order family of methods for multiple roots and its dynamics Journal Article

In: Numerical Algorithms, vol. 71, no. 4, pp. 775 – 796, 2016.

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Cortés, Juan C.; Chen-Charpentier, B.; Company, R.; Solis, Francisco J.; Torregrosa, Juan R.; Villanueva, Rafael J.

Analysis and Models in Interdisciplinary Mathematics 2016 Journal Article

In: Abstract and Applied Analysis, vol. 2016, 2016.

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Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R.

Chaos and convergence of a family generalizing Homeier’s method with damping parameters Journal Article

In: Nonlinear Dynamics, vol. 85, no. 3, pp. 1939 – 1954, 2016.

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Cordero, Alicia; Ferrero, Alfredo; Torregrosa, Juan R.

Damped Traub's method: Convergence and stability Journal Article

In: Mathematics and Computers in Simulation, vol. 119, pp. 57 – 68, 2016.

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Budzko, Dzmitry A.; Hueso, José L.; Martínez, Eulalia; Teruel, Carles

Dynamical study while searching equilibrium solutions in N-body problem Journal Article

In: Journal of Computational and Applied Mathematics, vol. 297, pp. 26 – 40, 2016, (Cited by: 3; All Open Access, Bronze Open Access, Green Open Access).

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Dynamics of a multipoint variant of Chebyshev-Halley's family Journal Article

In: Applied Mathematics and Computation, vol. 284, pp. 195 – 208, 2016.

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Martínez, Eulalia; Singh, Sukhjit; Hueso, José L.; Gupta, Dharmendra K.

Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces Journal Article

In: Applied Mathematics and Computation, vol. 281, pp. 252 – 265, 2016, (Cited by: 42; All Open Access, Green Open Access).

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Martínez, Eulalia; Singh, Sukhjit; Hueso, José L.; Gupta, Dharmendra K.

Local convergence of a family of iterative methods for Hammerstein equations Journal Article

In: Journal of Mathematical Chemistry, vol. 54, no. 7, pp. 1370 – 1386, 2016, (Cited by: 3; All Open Access, Green Open Access).

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Torregrosa, Juan R.; Jódar, Lucas; Cortés, Juan C.; Criado, Regino

Mathematical modeling and computational methods Journal Article

In: Journal of Computational and Applied Mathematics, vol. 291, pp. 1 – 4, 2016.

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Abbasbandy, Saeid; Bakhtiari, Parisa; Cordero, Alicia; Torregrosa, Juan R.; Lotfi, Taher

New efficient methods for solving nonlinear systems of equations with arbitrary even order Journal Article

In: Applied Mathematics and Computation, vol. 287-288, pp. 94 – 103, 2016.

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Amat, S.; Bermúdez, C.; Hernández-Verón, M. A.; Martínez, Eulalia

On an efficient k-step iterative method for nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 302, pp. 258 – 271, 2016, (Cited by: 25; All Open Access, Green Open Access).

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Cordero, Alicia; Torregrosa, Juan R.

On the design of optimal iterative methods for solving nonlinear equations Journal Article

In: SEMA SIMAI Springer Series, vol. 10, pp. 79 – 111, 2016.

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family Journal Article

In: Numerical Algorithms, vol. 73, no. 1, pp. 141 – 156, 2016.

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Chicharro, Francisco I.; Ortega, Beatriz; Mora, José

Paired SSB optical OFDM channels for high spectral efficient signal transmission over DWDM networks Journal Article

In: vol. 370, pp. 239 – 244, 2016.

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Cordero, Alicia; Torregrosa, Juan R.; Neta, Beny; Lotfi, Taher

Real and Complex Dynamics of Iterative Methods Journal Article

In: Discrete Dynamics in Nature and Society, vol. 2016, 2016.

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Singh, Sukhjit; Gupta, Dharmendra Kumar; Martínez, E.; Hueso, José L.

Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition Journal Article

In: Applied Mathematics and Computation, vol. 276, pp. 266 – 277, 2016, (Cited by: 15; All Open Access, Bronze Open Access, Green Open Access).

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Singh, Sukhjit; Gupta, D. K.; Martínez, E.; Hueso, José L.

Semilocal Convergence Analysis of an Iteration of Order Five Using Recurrence Relations in Banach Spaces Journal Article

In: Mediterranean Journal of Mathematics, vol. 13, no. 6, pp. 4219 – 4235, 2016, (Cited by: 16; All Open Access, Green Open Access).

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Cordero, Alicia; Lotfi, Taher; Torregrosa, Juan R.; Assari, Paria; Mahdiani, Katayoun

Some new bi-accelerator two-point methods for solving nonlinear equations Journal Article

In: Computational and Applied Mathematics, vol. 35, no. 1, pp. 251 – 267, 2016.

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Cordero, Alicia; Gutiérrez, José M.; Magreñán, Á Alberto; Torregrosa, Juan R.

Stability analysis of a parametric family of iterative methods for solving nonlinear models Journal Article

In: Applied Mathematics and Computation, vol. 285, pp. 26 – 40, 2016.

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Cordero, Alicia; Magreñán, Á Alberto; Quemada, Carlos; Torregrosa, Juan R.

Stability study of eighth-order iterative methods for solving nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 291, pp. 348 – 357, 2016.

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Babajee, Diyashvir K. R.; Cordero, Alicia; Torregrosa, Juan R.

Study of iterative methods through the Cayley Quadratic Test Journal Article

In: Journal of Computational and Applied Mathematics, vol. 291, pp. 358 – 369, 2016.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Weighted Gaussian correction of Newton-type methods for solving nonlinear systems Journal Article

In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 59, no. 1, pp. 23 – 38, 2016.

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2015

Gassó, Maria T.; Torregrosa, Juan R.; Abad, Manuel F.

A Hadamard product involving inverse-positive matrices Journal Article

In: Special Matrices, vol. 3, no. 1, pp. 193 – 199, 2015.

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

A multidimensional dynamical approach to iterative methods with memory Journal Article

In: Applied Mathematics and Computation, vol. 271, pp. 701 – 715, 2015.

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Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R.

A new family of iterative methods widening areas of convergence Journal Article

In: Applied Mathematics and Computation, vol. 252, pp. 405 – 417, 2015.

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Cordero, Alicia; Feng, Licheng; Magreñán, Alberto; Torregrosa, Juan R.

A new fourth-order family for solving nonlinear problems and its dynamics Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 3, pp. 893 – 910, 2015.

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Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R.

A stable family with high order of convergence for solving nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 254, pp. 240 – 251, 2015.

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Cordero, Alicia; Lotfi, Taher; Khoshandi, Arezoo; Torregrosa, Juan R.

An efficient Steffensen-like iterative method with memory Journal Article

In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 58, no. 1, pp. 49 – 58, 2015.

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Cordero, Alicia; Lotfi, Taher; Bakhtiari, Parisa; Torregrosa, Juan R.

An efficient two-parametric family with memory for nonlinear equations Journal Article

In: Numerical Algorithms, vol. 68, no. 2, pp. 323 – 335, 2015.

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Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.

Construction of fourth-order optimal families of iterative methods and their dynamics Journal Article

In: Applied Mathematics and Computation, vol. 271, pp. 89 – 101, 2015.

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Hueso, José L.; Martínez, Eulalia; Teruel, Carles

Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems Journal Article

In: Journal of Computational and Applied Mathematics, vol. 275, pp. 412 – 420, 2015, (Cited by: 79; All Open Access, Green Open Access).

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Hueso, José L.; Martínez, Eulalia; Teruel, Carles

Derivative free iterative methods for nonlinear systems Journal Article

In: Applied Mathematics and Computation, vol. 259, pp. 955 – 966, 2015, (Cited by: 2; All Open Access, Green Open Access).

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Design of high-order iterative methods for nonlinear systems by using weight function procedure Journal Article

In: Abstract and Applied Analysis, vol. 2015, 2015.

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Hueso, José L.; Martínez, Eulalia; Teruel, Carles

Determination of multiple roots of nonlinear equations and applications Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 3, pp. 880 – 892, 2015, (Cited by: 45; All Open Access, Bronze Open Access, Green Open Access).

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Dynamics and fractal dimension of steffensen-type methods Journal Article

In: Algorithms, vol. 8, no. 2, pp. 271 – 279, 2015.

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Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Dynamics of the family of c-iterative methods Journal Article

In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1815 – 1825, 2015.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Erratum to: Solving nonlinear problems by Ostrowski–Chun type parametric families [J Math Chem, (2015), 53, 430-449, 10.1007/s10910-014-0432-z] Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 4, pp. 1191 – 1192, 2015.

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Cordero, Alicia; Torregrosa, Juan R.

Low-complexity root-finding iteration functions with no derivatives of any order of convergence Journal Article

In: Journal of Computational and Applied Mathematics, vol. 275, pp. 502 – 515, 2015.

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure Journal Article

In: Applied Mathematics and Computation, vol. 268, pp. 1064 – 1071, 2015.

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Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R.

Multidimensional Homeier’s generalized class and its application to planar 1D Bratu problem Journal Article

In: SeMA Journal, vol. 70, no. 1, 2015.

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Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R.

Numerical solution of turbulence problems by solving Burger' equation Journal Article

In: Algorithms, vol. 8, no. 2, pp. 224 – 233, 2015.

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Behl, Ramandeep; Cordero, Alicia; Motsa, S. S.; Torregrosa, Juan R.

On developing fourth-order optimal families of methods for multiple roots and their dynamics Journal Article

In: Applied Mathematics and Computation, vol. 265, pp. 520 – 532, 2015.

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Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R.

On the convergence of a damped Newton-like method with modified right hand side vector Journal Article

In: Applied Mathematics and Computation, vol. 266, pp. 927 – 936, 2015.

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Hernández-Verón, M. A.; Martínez, Eulalia

On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions Journal Article

In: Numerical Algorithms, vol. 70, no. 2, pp. 377 – 392, 2015, (Cited by: 34; All Open Access, Green Open Access).

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Cordero, Alicia; Jordán, Cristina; Torregrosa, Juan R.

One-point Newton-type iterative methods: A unified point of view Journal Article

In: Journal of Computational and Applied Mathematics, vol. 275, pp. 366 – 374, 2015.

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Soleymani, Fazlollah; Stanimirović, Predrag S.; Torregrosa, Juan R.; Nik, Hassan Saberi; Tohidi, Emran

Recent theories and applications in approximation theory Journal Article

In: Scientific World Journal, vol. 2015, 2015.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.

Solving nonlinear problems by Ostrowski–Chun type parametric families Journal Article

In: Journal of Mathematical Chemistry, vol. 53, no. 1, pp. 430 – 449, 2015.

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Lotfi, Taher; Bakhtiari, Parisa; Cordero, Alicia; Mahdiani, Katayoun; Torregrosa, Juan R.

Some new efficient multipoint iterative methods for solving nonlinear systems of equations Journal Article

In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1921 – 1934, 2015.

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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Two weighted eight-order classes of iterative root-finding methods Journal Article

In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1790 – 1805, 2015.

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2014

Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R.

A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem Journal Article

In: Applied Mathematics and Computation, vol. 232, pp. 237 – 246, 2014.

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Abad, Manuel; Cordero, Alicia; Torregrosa, Juan R.

A family of seventh-order schemes for solving nonlinear systems Journal Article

In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 57, no. 2, pp. 133 – 145, 2014.

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Abad, Manuel; Cordero, Alicia; Torregrosa, Juan R.

An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem Book

2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).

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Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Shateyi, Stanford

Basins of attraction for various steffensen-type methods Journal Article

In: Journal of Applied Mathematics, vol. 2014, 2014.

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Jordán, Cristina; Torregrosa, Juan R.

Characterization of the existence of an n0 -completion of a partial n0 -matrix with an associated directed cycle Journal Article

In: The Scientific World Journal, vol. 2014, 2014.

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Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.

Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? Journal Article

In: Applied Mathematics and Computation, vol. 244, pp. 398 – 412, 2014.

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Hueso, J. L.; Martínez, E.; Teruel, C.

Efficient iterative methods for approximating multiple roots Journal Article

In: Civil-Comp Proceedings, vol. 105, 2014, (Cited by: 0).

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Torregrosa, Juan R.; Cordero, Alicia; Kanwar, Vinay; Kou, Jisheng

Iterative fixed-point methods for solving nonlinear problems: Dynamics and applications Journal Article

In: Abstract and Applied Analysis, vol. 2014, 2014.

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Torregrosa, Juan R.; Argyros, Ioannis K.; Chun, Changbum; Cordero, Alicia; Soleymani, Fazlollah

Iterative methods for nonlinear equations or systems and their applications 2014 Journal Article

In: Journal of Applied Mathematics, vol. 2014, 2014.

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Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R.

Modifications of Newton’s method to extend the convergence domain Journal Article

In: SeMA Journal, vol. 66, no. 1, pp. 43 – 53, 2014.

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Lotfi, Taher; Cordero, Alicia; Torregrosa, Juan R.; Abadi, Morteza Amir; Zadeh, Maryam Mohammadi

On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations Journal Article

In: The Scientific World Journal, vol. 2014, 2014.

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Babajee, Diyashvir K. R.; Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.

On improved three-step schemes with high efficiency index and their dynamics Journal Article

In: Numerical Algorithms, vol. 65, no. 1, pp. 153 – 169, 2014.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods Book

2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).

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Soleimani, Farahnaz; Soleymani, Fazlollah; Cordero, Alicia; Torregrosa, Juan R.

On the extension of Householder's method for weighted Moore-Penrose inverse Journal Article

In: Applied Mathematics and Computation, vol. 231, pp. 407 – 413, 2014.

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Artidiello, S.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Optimal high-order methods for solving nonlinear equations Journal Article

In: Journal of Applied Mathematics, vol. 2014, 2014.

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Magreñán, Á Alberto; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R.

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane Journal Article

In: Mathematics and Computers in Simulation, vol. 105, pp. 49 – 61, 2014.

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Hueso, José L.; Martínez, Eulalia

Semilocal convergence of a family of iterative methods in Banach spaces Journal Article

In: Numerical Algorithms, vol. 67, no. 2, pp. 365 – 384, 2014, (Cited by: 22; All Open Access, Green Open Access).

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Some iterative methods for solving nonlinear matrix equations Journal Article

In: Civil-Comp Proceedings, vol. 105, 2014.

Links | BibTeX | Tags:

Araújo, C. Mendes; Torregrosa, Juan R.

Some results on B-matrices and doubly B-matrices Journal Article

In: Linear Algebra and Its Applications, vol. 459, pp. 101 – 120, 2014.

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Cordero, Alicia; Feng, Licheng; Franqués, Antonio; Torregrosa, Juan R.

Stability of a fourth-order family of iterative methods for solving nonlinear problems Journal Article

In: Civil-Comp Proceedings, vol. 105, 2014.

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Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R.

Two Optimal General Classes of Iterative Methods with Eighth-Order Journal Article

In: Acta Applicandae Mathematicae, vol. 134, no. 1, pp. 61 – 74, 2014.

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2013

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 252, pp. 95 – 102, 2013.

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Soler, David; Albiach, José; Martínez, Eulalia; Manzoni, Pietro

An algorithm to evaluate routing conditions in smartphones-based wireless networks Journal Article

In: Expert Systems with Applications, vol. 40, no. 13, pp. 5033 – 5048, 2013, (Cited by: 0; All Open Access, Bronze Open Access, Green Open Access).

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Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials Journal Article

In: Abstract and Applied Analysis, vol. 2013, 2013.

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Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, María P.; Vindel, Pura

Chaos in King's iterative family Journal Article

In: Applied Mathematics Letters, vol. 26, no. 8, pp. 842 – 848, 2013.

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Chicharro, Francisco I.; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R.

Complex dynamics of derivative-free methods for nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 219, no. 12, pp. 7023 – 7035, 2013.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Derivative-free high-order methods applied to preliminary orbit determination Journal Article

In: Mathematical and Computer Modelling, vol. 57, no. 7-8, pp. 1795 – 1799, 2013.

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Benítez, Julio; Giménez, Marcos H.; Hueso, José L.; Martínez, Eulalia; Riera, Jaime

Design and use of a learning object for finding complex polynomial roots Journal Article

In: International Journal of Mathematical Education in Science and Technology, vol. 44, no. 3, pp. 365 – 376, 2013, (Cited by: 2).

Links | BibTeX | Tags:

Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Drawing dynamical and parameters planes of iterative families and methods Journal Article

In: The Scientific World Journal, vol. 2013, 2013.

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Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Dynamics of a family of Chebyshev-Halley type methods Journal Article

In: Applied Mathematics and Computation, vol. 219, no. 16, pp. 8568 – 8583, 2013.

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Abad, Manuel; Cordero, Alicia; Torregrosa, Juan R.

Fourth- and fifth-order methods for solving nonlinear systems of equations: An application to the global positioning system Journal Article

In: Abstract and Applied Analysis, vol. 2013, 2013.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation Journal Article

In: Mathematical and Computer Modelling, vol. 57, no. 7-8, pp. 1950 – 1956, 2013.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Increasing the order of convergence of iterative schemes for solving nonlinear systems Journal Article

In: Journal of Computational and Applied Mathematics, vol. 252, pp. 86 – 94, 2013.

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Torregrosa, Juan R.; Argyros, Ioannis K.; Chun, Changbum; Cordero, Alicia; Soleymani, Fazlollah

Iterative methods for nonlinear equations or systems and their applications Journal Article

In: Journal of Applied Mathematics, vol. 2013, 2013.

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Artidiello, Santiago; Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods Journal Article

In: International Journal of Computer Mathematics, vol. 90, no. 10, pp. 2049 – 2060, 2013.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

New family of iterative methods with high order of convergence for solving nonlinear systems Journal Article

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8236 LNCS, pp. 222 – 230, 2013.

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Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Period-doubling bifurcations in the family of Chebyshev-Halley-type methods Journal Article

In: International Journal of Computer Mathematics, vol. 90, no. 10, pp. 2061 – 2071, 2013.

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Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R.

Preliminary orbit determination of artificial satellites: A vectorial sixth-order approach Journal Article

In: Abstract and Applied Analysis, vol. 2013, 2013.

Links | BibTeX | Tags:

Benítez, Julio; Giménez, Marcos H.; Hueso, José L.; Martínez, Eulalia; Riera, Jaime

Some learning objects to explain Kepler's laws Journal Article

In: Computer Applications in Engineering Education, vol. 21, no. 1, pp. 1 – 7, 2013, (Cited by: 1; All Open Access, Bronze Open Access, Green Open Access).

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2012

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A family of derivative-free methods with high order of convergence and its application to nonsmooth equations Journal Article

In: Abstract and Applied Analysis, vol. 2012, 2012.

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Cordero, Alicia; Fardi, Mojtaba; Ghasemi, Mehdi; Torregrosa, Juan R.

A family of iterative methods with accelerated eighth-order convergence Journal Article

In: Journal of Applied Mathematics, vol. 2012, 2012.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A family of optimal methods for solving nonlinear equations Journal Article

In: Civil-Comp Proceedings, vol. 100, 2012.

Links | BibTeX | Tags:

Arroyo, Víctor; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Artificial satellites preliminary orbit determination by the modified high-order Gauss method Journal Article

In: International Journal of Computer Mathematics, vol. 89, no. 3, pp. 347 – 356, 2012.

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Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.

Dynamic behaviour of steffensen-type methods Journal Article

In: Civil-Comp Proceedings, vol. 100, 2012.

Links | BibTeX | Tags:

Parrilla, Eduardo; Riera, J.; Torregrosa, Juan R.; Hueso, José L.

Fuzzy control system for obstacle detection in 3D tracking Book

2012, (Publication Title: Fuzzy Control Systems).

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Increasing the convergence order of an iterative method for nonlinear systems Journal Article

In: Applied Mathematics Letters, vol. 25, no. 12, pp. 2369 – 2374, 2012.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

New predictor-corrector methods with high efficiency for solving nonlinear systems Journal Article

In: Journal of Applied Mathematics, vol. 2012, 2012.

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Babajee, Diyashvir K. R.; Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.

On a novel fourth-order algorithm for solving systems of nonlinear equations Journal Article

In: Journal of Applied Mathematics, vol. 2012, 2012.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 218, no. 23, pp. 11496 – 11504, 2012.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Steffensen type methods for solving nonlinear equations? Journal Article

In: Journal of Computational and Applied Mathematics, vol. 236, no. 12, pp. 3058 – 3064, 2012.

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Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura

Study of the dynamics of third-order iterative methods on quadratic polynomials Journal Article

In: International Journal of Computer Mathematics, vol. 89, no. 13-14, pp. 1826 – 1836, 2012.

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Ginestar, D.; Hueso, J. L.; Martínez, E.; Riera, J.

Using optical flow for analyzing the dynamics of the bouncing ball system Journal Article

In: Civil-Comp Proceedings, vol. 100, 2012, (Cited by: 0).

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2011

Cordero, Alicia; Torregrosa, Juan R.

A class of Steffensen type methods with optimal order of convergence Journal Article

In: Applied Mathematics and Computation, vol. 217, no. 19, pp. 7653 – 7659, 2011.

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Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

A family of modified Ostrowski's methods with optimal eighth order of convergence Journal Article

In: Applied Mathematics Letters, vol. 24, no. 12, pp. 2082 – 2086, 2011.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Accelerated Steffensen-type methods for solving nonlinear systems of equations Proceedings Article

In: AIP Conference Proceedings, pp. 1053 – 1056, 2011.

Links | BibTeX | Tags:

Arroyo, Víctor; Cordero, Alicia; Torregrosa, Juan R.

Approximation of artificial satellites' preliminary orbits: The efficiency challenge Journal Article

In: Mathematical and Computer Modelling, vol. 54, no. 7-8, pp. 1802 – 1807, 2011.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Efficient high-order methods based on golden ratio for nonlinear systems Journal Article

In: Applied Mathematics and Computation, vol. 217, no. 9, pp. 4548 – 4556, 2011.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Optimal derivative-free methods for solving nonlinear equations Proceedings Article

In: AIP Conference Proceedings, pp. 1049 – 1052, 2011.

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Cordero, Alicia; Torregrosa, Juan R.

Preface of the "Advances in numerical methods for solving nonlinear equations and systems" Proceedings Article

In: AIP Conference Proceedings, pp. 1044 – 1045, 2011.

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Araújo, C. Mendes; Torregrosa, Juan R.

Sign pattern matrices that admit P0-matrices Journal Article

In: Linear Algebra and Its Applications, vol. 435, no. 8, pp. 2046 – 2053, 2011.

Links | BibTeX | Tags:

Abad, Manuel F.; Gassó, María T.; Torregrosa, Juan R.

Some results about inverse-positive matrices Journal Article

In: Applied Mathematics and Computation, vol. 218, no. 1, pp. 130 – 139, 2011.

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Bräysy, Olli; Martínez, Eulalia; Nagata, Yuichi; Soler, David

The mixed capacitated general routing problem with turn penalties Journal Article

In: Expert Systems with Applications, vol. 38, no. 10, pp. 12954 – 12966, 2011, (Cited by: 19; All Open Access, Green Open Access).

Links | BibTeX | Tags:

Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.

Three-step iterative methods with optimal eighth-order convergence Journal Article

In: Journal of Computational and Applied Mathematics, vol. 235, no. 10, pp. 3189 – 3194, 2011.

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2010

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A family of iterative methods with sixth and seventh order convergence for nonlinear equations Journal Article

In: Mathematical and Computer Modelling, vol. 52, no. 9-10, pp. 1490 – 1496, 2010.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A modified Newton-Jarratt's composition Journal Article

In: Numerical Algorithms, vol. 55, no. 1, pp. 87 – 99, 2010.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Accelerated methods of order 2 p for systems of nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 233, no. 10, pp. 2696 – 2702, 2010.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Efficient three-step iterative methods with sixth order convergence for nonlinear equations Journal Article

In: Numerical Algorithms, vol. 53, no. 4, pp. 485 – 495, 2010.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Iterative methods for use with nonlinear discrete algebraic models Journal Article

In: Mathematical and Computer Modelling, vol. 52, no. 7-8, pp. 1251 – 1257, 2010.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Iterative methods for use with nonlinear discrete algebraic models Journal Article

In: Mathematical and Computer Modelling, vol. 52, no. 7-8, pp. 1251 – 1257, 2010, (Cited by: 15).

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Iterative processes with high order of convergence for nonlinear systems Proceedings Article

In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence Journal Article

In: Journal of Computational and Applied Mathematics, vol. 234, no. 10, pp. 2969 – 2976, 2010.

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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.; Vindel, Pura

Newton-like methods for nonlinear systems with competitive efficiency indices Proceedings Article

In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.

Links | BibTeX | Tags:

Arroyo, Víctor; Cordero, Alicia; Torregrosa, Juan R.

Numerical methods for orbit determination of artificial satellites Proceedings Article

In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.

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Cordero, Alicia; Torregrosa, Juan R.

On interpolation variants of Newton's method for functions of several variables Journal Article

In: Journal of Computational and Applied Mathematics, vol. 234, no. 1, pp. 34 – 43, 2010.

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2009

Parrilla, Eduardo; Riera, Jaime; Torregrosa, Juan R.; Hueso, José L.

Handling occlusion in object tracking in stereoscopic video sequences Journal Article

In: Mathematical and Computer Modelling, vol. 50, no. 5-6, pp. 823 – 830, 2009.

Links | BibTeX | Tags:

Abad, Manuel; Gassó, María T.; Torregrosa, Juan R.

Inverse-positive matrices with checkerboard pattern Journal Article

In: Lecture Notes in Control and Information Sciences, vol. 389, pp. 185 – 194, 2009.

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Cordero, Alicia; Martínez, Eulalia; Torregrosa, Juan R.

Iterative methods of order four and five for systems of nonlinear equations Journal Article

In: Journal of Computational and Applied Mathematics, vol. 231, no. 2, pp. 541 – 551, 2009.

Links | BibTeX | Tags:

Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Modified Newton's method for systems of nonlinear equations with singular Jacobian Journal Article

In: Journal of Computational and Applied Mathematics, vol. 224, no. 1, pp. 77 – 83, 2009.

Links | BibTeX | Tags:

Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Multi-point iterative methods for systems of nonlinear equations Journal Article

In: Lecture Notes in Control and Information Sciences, vol. 389, pp. 259 – 267, 2009.

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Jordán, Cristina; Araújo, C. Mendes; Torregrosa, Juan R.

N0 completions on partial matrices Journal Article

In: Applied Mathematics and Computation, vol. 211, no. 2, pp. 303 – 312, 2009.

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Araújo, C. Mendes; Torregrosa, Juan R.

Sign pattern matrices that admit M-, N-, P- or inverse M-matrices Journal Article

In: Linear Algebra and Its Applications, vol. 431, no. 5-7, pp. 724 – 731, 2009.

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Jordán, Cristina; Torregrosa, Juan R.; el-Ghamry, Ramadán

The completable digraphs for the totally nonnegative completion problem Journal Article

In: Linear Algebra and Its Applications, vol. 430, no. 5-6, pp. 1675 – 1690, 2009.

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Jordán, Cristina; Torregrosa, Juan R.

The number of viable ecological trophic networks Journal Article

In: Mathematical and Computer Modelling, vol. 50, no. 5-6, pp. 947 – 952, 2009.

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Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Third and fourth order iterative methods free from second derivative for nonlinear systems Journal Article

In: Applied Mathematics and Computation, vol. 211, no. 1, pp. 190 – 197, 2009.

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Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

Third order iterative methods free from second derivative for nonlinear systems Journal Article

In: Applied Mathematics and Computation, vol. 215, no. 1, pp. 58 – 65, 2009.

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2008

Cordero, Alicia; Torregrosa, Juan R.

A class of multi-point iterative methods for nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 197, no. 1, pp. 337 – 344, 2008.

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Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A note on some three-step iterative methods for nonlinear equations Journal Article

In: Applied Mathematics and Computation, vol. 202, no. 1, pp. 252 – 255, 2008.

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Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A numerical study of Newton-like methods for nonlinear systems with a singular jacobian Proceedings Article

In: Proceedings of the 6th International Conference on Engineering Computational Technology, 2008.

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Gassó, Maria T.; Torregrosa, Juan R.

Bidiagonal factorizations and quasi-oscillatory rectangular matrices Journal Article

In: Linear Algebra and Its Applications, vol. 429, no. 8-9, pp. 1886 – 1893, 2008.

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Parrilla, Eduardo; Ginestar, Damián; Hueso, José L.; Riera, Jaime; Torregrosa, Juan R.

Handling occlusion in optical flow algorithms for object tracking Journal Article

In: Computers and Mathematics with Applications, vol. 56, no. 3, pp. 733 – 742, 2008.

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2007

Gassó, M.; Torregrosa, Juan R.

A class of totally positive P-matrices whose inverses are M-matrices Journal Article

In: Applied Mathematics Letters, vol. 20, no. 1, pp. 23 – 27, 2007.

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Gassó, M. Teresa; Torregrosa, Juan R.

Generalized oscillatory matrices Proceedings Article

In: AIP Conference Proceedings, pp. 237 – 240, 2007.

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Cordero, Alicia; Torregrosa, Juan R.

Variants of Newton's Method using fifth-order quadrature formulas Journal Article

In: Applied Mathematics and Computation, vol. 190, no. 1, pp. 686 – 698, 2007.

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2006

Gassó, Maria T.; Torregrosa, Juan R.

Bidiagonal factorization of totally nonnegative rectangular matrices Journal Article

In: Lecture Notes in Control and Information Sciences, vol. 341, pp. 33 – 40, 2006.

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Araújo, C. Mendes; Torregrosa, Juan R.; Urbano, Ana M.

Totally nonpositive completions on partial matrices Journal Article

In: Linear Algebra and Its Applications, vol. 413, no. 2-3 SPEC. ISS., pp. 403 – 424, 2006.

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Cordero, Alicia; Torregrosa, Juan R.

Variants of Newton's method for functions of several variables Journal Article

In: Applied Mathematics and Computation, vol. 183, no. 1, pp. 199 – 208, 2006.

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2005

Araújo, C. Mendes; Torregrosa, Juan R.; Urbano, Ana M.

The doubly negative matrix completion problem Journal Article

In: Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 295 – 306, 2005.

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Araújo, C. Mendes; Torregrosa, Juan R.; Urbano, Ana M.

The symmetric N-matrix completion problem Journal Article

In: Linear Algebra and Its Applications, vol. 406, no. 1-3, pp. 235 – 252, 2005.

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2004

Gasso, M.; Torregrosa, Juan R.

A totally positive factorization of rectangular matrices by the Neville elimination Journal Article

In: SIAM Journal on Matrix Analysis and Applications, vol. 25, no. 4, pp. 986 – 994, 2004.

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Araújo, C. Mendes; Torregrosa, Juan R.; Urbano, Ana M.

The N -matrix completion problem under digraphs assumptions Journal Article

In: Linear Algebra and Its Applications, vol. 380, no. 1-3, pp. 213 – 225, 2004.

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Jordán, Cristina; Torregrosa, Juan R.

The totally positive completion problem Journal Article

In: Linear Algebra and Its Applications, vol. 393, no. 1-3, pp. 259 – 274, 2004.

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2003

Jordán, Cristina; Torregrosa, Juan R.; Urbano, Ana M.

Completions of partial P-matrices with acyclic or non-acyclic associated graph Journal Article

In: Linear Algebra and Its Applications, vol. 368, pp. 25 – 51, 2003.

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Araújo, C. Mendes; Torregrosa, Juan R.; Urbano, Ana M.

N-matrix completion problem Journal Article

In: Linear Algebra and Its Applications, vol. 371, no. SUPPL., pp. 111 – 125, 2003.

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Riera, Jaime; Monsoriu, Juan A.; Giménez, Marcos H.; Hueso, José L.; Torregrosa, Juan R.

Using image recognition to automate video analysis of physical processes Journal Article

In: American Journal of Physics, vol. 71, no. 10, pp. 1075 – 1079, 2003.

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2002

Gassó, M.; Torregrosa, Juan R.

A PLU-factorization of rectangular matrices by the Neville elimination Journal Article

In: Linear Algebra and Its Applications, vol. 357, no. 1-3, pp. 163 – 171, 2002.

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Corberán, Angel; Martí, Rafael; Martínez, Eulalia; Soler, David

The Rural Postman Problem on mixed graphs with turn penalties Journal Article

In: Computers and Operations Research, vol. 29, no. 7, pp. 887 – 903, 2002, (Cited by: 28).

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2001

Jordán, Cristina; Torregrosa, Juan R.; Urbano, Ana M.

Graphs and controllability completion problems Journal Article

In: Linear Algebra and Its Applications, vol. 332-334, pp. 355 – 370, 2001.

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2000

Jordán, Cristina; Torregrosa, Juan R.; Urbano, Ana M.

Completion problems of partial inverse M-matrix Book

2000, (Publication Title: Recent Advances in Applied and Theoretical Mathematics).

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Fallat, Shaun M.; Johnson, Charles R.; Torregrosa, Juan R.; Urbano, Ana M.

P-matrix completions under weak symmetry assumptions Journal Article

In: Linear Algebra and Its Applications, vol. 312, no. 1-3, pp. 73 – 91, 2000.

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1998

Jordán, Cristina; Torregrosa, Juan R.; Urbano, Ana M.

On the Rodman-Shalom conjecture regarding the Jordan form of completions of partial upper triangular matrices Journal Article

In: Electronic Journal of Linear Algebra, vol. 3, pp. 103 – 118, 1998.

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1997

Jordán, Cristina; Torregrosa, Juan R.; Urbano, Ana M.

On the Jordan form of completions of partial upper triangular matrices Journal Article

In: Linear Algebra and Its Applications, vol. 254, no. 1-3, pp. 241 – 250, 1997.

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1992

Montesinos, V.; Torregrosa, Juan R.

Some properties which generalize uniform rotundity of Banach spaces Journal Article

In: Archiv der Mathematik, vol. 59, no. 5, pp. 457 – 467, 1992.

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