Publications
2026
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).
Derivative-free optimal multiple-root finding family of iterative methods Journal Article
In: Computational and Applied Mathematics, vol. 45, no. 7, 2026.
Generalized Traub Family for Solving Nonlinear Systems: Fourth-Order Optimal Method and Dynamical Analysis Journal Article
In: vol. 14, no. 7, 2026.
The Krasnoselskij Operator for Locating and Approximating Fixed Points Journal Article
In: vol. 23, no. 4, 2026.
2025
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.
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.
A New Perspective on the Convergence of Mean-Based Methods for Nonlinear Equations Journal Article
In: vol. 13, no. 21, 2025.
About the stability of self-accelerating parameters in vectorial iterative methods without memory Journal Article
In: 2025.
Bifurcation and Frequency Properties of S-Type Neuronic Oscillators Journal Article
In: vol. 16, no. 15, pp. 3616 – 3631, 2025.
Bifurcation and oscillations in fluidic nanopores: A model neuron for liquid neuromorphic networks Journal Article
In: vol. 7, no. 1, 2025.
Construction of derivative-free iterative schemes with second and third convergence order Book
2025, (Cited by: 0).
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).
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).
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.
High-level convergence order accelerators of iterative methods for nonlinear problems Journal Article
In: vol. 217, pp. 390 – 411, 2025.
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).
Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations Journal Article
In: Applied Mathematics and Computation, vol. 492, 2025.
New Iterative Procedures for Approximating Different Types of Inverse Matrix: Convergence and Stability Journal Article
In: vol. 48, no. 8, pp. 8806 – 8817, 2025.
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).
Secant-Type Iterative Classes for Nonlinear Equations with Multiple Roots Journal Article
In: vol. 18, no. 9, 2025.
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).
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).
Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme Journal Article
In: vol. 13, no. 6, 2025.
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).
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).
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).
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).
2024
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.
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).
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.
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.
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.
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.
A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations Journal Article
In: Algorithms, vol. 17, no. 2, 2024.
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.
An efficient extension of three-step optimal iterative scheme into with memory and its stability Journal Article
In: Journal of Analysis, 2024.
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.
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.
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).
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.
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.
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).
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.
Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes Journal Article
In: Numerical Algorithms, vol. 97, no. 4, pp. 2011 – 2029, 2024.
High-efficiency implicit scheme for solving first-order partial differential equations Journal Article
In: Results in Applied Mathematics, vol. 24, 2024.
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.
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).
Inverse matrix estimations by iterative methods with weight functions and their stability analysis Journal Article
In: Applied Mathematics Letters, vol. 155, 2024.
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).
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.
Modifying Kurchatov's method to find multiple roots of nonlinear equations Journal Article
In: Applied Numerical Mathematics, vol. 198, pp. 11 – 21, 2024.
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.
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.
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).
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.
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.
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).
Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems Journal Article
In: Mathematics, vol. 12, no. 21, 2024.
2023
A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve Journal Article
In: Algorithms, vol. 16, no. 3, 2023.
A Seventh Order Family of Jarratt Type Iterative Method for Electrical Power Systems Journal Article
In: vol. 7, no. 4, 2023.
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).
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).
An iterative scheme to obtain multiple solutions simultaneously Journal Article
In: Applied Mathematics Letters, vol. 145, 2023.
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.
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).
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.
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.
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems Journal Article
In: Algorithms, vol. 16, no. 3, 2023.
Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Journal Article
In: Fractal and Fractional, vol. 7, no. 8, 2023.
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.
Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications” Journal Article
In: Symmetry, vol. 15, no. 6, 2023.
In: Mathematics, vol. 11, no. 20, 2023.
Family of fourth-order optimal classes for solving multiple-root nonlinear equations Journal Article
In: vol. 61, no. 4, pp. 736 – 760, 2023.
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.
Generalized conformable fractional Newton-type method for solving nonlinear systems Journal Article
In: Numerical Algorithms, vol. 93, no. 3, pp. 1171 – 1208, 2023.
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).
Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory Journal Article
In: Mathematics, vol. 11, no. 14, 2023.
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).
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.
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).
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.
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.
Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots Journal Article
In: Mathematics, vol. 11, no. 15, 2023.
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.
Reasons for stability in the construction of derivative-free multistep iterative methods Journal Article
In: Mathematical Methods in the Applied Sciences, 2023.
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).
Simultaneous roots for vectorial problems Journal Article
In: Computational and Applied Mathematics, vol. 42, no. 5, 2023.
Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach Journal Article
In: Mathematics, vol. 11, no. 11, 2023.
Three-step iterative weight function scheme with memory for solving nonlinear problems Journal Article
In: Mathematical Methods in the Applied Sciences, 2023.
2022
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).
A new higher-order optimal derivative free scheme for multiple roots Journal Article
In: Journal of Computational and Applied Mathematics, vol. 404, 2022.
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).
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).
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Journal Article
In: Applied Mathematics Letters, vol. 124, 2022.
Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions Journal Article
In: Mathematics, vol. 10, no. 9, 2022.
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.
Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods Journal Article
In: Algorithms, vol. 15, no. 10, 2022.
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).
High order family of multivariate iterative methods: Convergence and stability Journal Article
In: Journal of Computational and Applied Mathematics, vol. 405, 2022.
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.
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).
Iterative schemes for finding all roots simultaneously of nonlinear equations Journal Article
In: Applied Mathematics Letters, vol. 134, 2022.
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).
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction Journal Article
In: Symmetry, vol. 14, no. 8, 2022.
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.
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction Journal Article
In: Fractal and Fractional, vol. 6, no. 10, 2022.
Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory Journal Article
In: Symmetry, vol. 14, no. 3, 2022.
Toward a Unified Theory of Inverse-free Two-Step Point-to-point Iterative Processes Conference
vol. 2425, 2022, (Cited by: 0).
2021
A general class of arbitrary order iterative methods for computing generalized inverses Journal Article
In: Applied Mathematics and Computation, vol. 409, 2021.
A general optimal iterative scheme with arbitrary order of convergence Journal Article
In: Symmetry, vol. 13, no. 5, 2021.
A new high-order jacobian-free iterative method with memory for solving nonlinear systems Journal Article
In: Mathematics, vol. 9, no. 17, 2021.
Chaos and stability in a new iterative family for solving nonlinear equations Journal Article
In: Algorithms, vol. 14, no. 4, 2021.
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).
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.
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).
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.
Memorizing schröder’s method as an efficient strategy for estimating roots of unknown multiplicity Journal Article
In: Mathematics, vol. 9, no. 20, 2021.
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.
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).
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).
Semilocal convergence of the extension of chun’s method Journal Article
In: Axioms, vol. 10, no. 3, 2021.
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).
The stem methodology and graph theory: Some practical examples Journal Article
In: Mathematics, vol. 9, no. 23, 2021.
2020
A family of multiple-root finding iterative methods based on weight functions Journal Article
In: vol. 8, no. 12, pp. 1 – 17, 2020.
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.
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).
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).
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.
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).
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).
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).
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).
Anomalies in the convergence of Traub-type methods with memory Journal Article
In: Computational and Mathematical Methods, vol. 2, no. 1, 2020.
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.
In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 573, 2020.
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).
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).
Generalized inverses estimations by means of iterative methods with memory Journal Article
In: Mathematics, vol. 8, no. 1, 2020.
Impact on stability by the use of memory in traub-type schemes Journal Article
In: Mathematics, vol. 8, no. 2, 2020.
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).
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).
Memory in a new variant of king's family for solving nonlinear systems Journal Article
In: Mathematics, vol. 8, no. 8, 2020.
Multipoint fractional iterative methods with (2α+1)th-order of convergence for solving nonlinear problems Journal Article
In: Mathematics, vol. 8, no. 3, 2020.
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).
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.
On the design and analysis of high-order Weerakoon-Fernando methods based on weight functions Journal Article
In: vol. 2, no. 5, 2020.
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.
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.
Parallel iterative splitting methods: Algorithms and applications Conference
vol. 2293, 2020, (Cited by: 1).
Reverse teaching as a methodological strategy for mathematics learning in higher education Book
2020, (Publication Title: Didactics of Mathematics: New Trends and Experiences).
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).
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.
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.
2019
A class of four parametric with- and without-memory root finding methods Journal Article
In: Computational and Mathematical Methods, vol. 1, no. 3, 2019.
A convex combination approach for mean-based variants of Newton's method Journal Article
In: Symmetry, vol. 11, no. 9, 2019.
A fast algorithm to solve systems of nonlinear equations Journal Article
In: Journal of Computational and Applied Mathematics, vol. 354, pp. 242 – 258, 2019.
A fractional Newton method with 2αth-order of convergence and its stability Journal Article
In: Applied Mathematics Letters, vol. 98, pp. 344 – 351, 2019.
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.
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).
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.
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.
A new three-step class of iterative methods for solving nonlinear systems Journal Article
In: Mathematics, vol. 7, no. 12, 2019.
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.
A variant of Chebyshev's method with 3αth-order of convergence by using fractional derivatives Journal Article
In: Symmetry, vol. 11, no. 8, 2019.
An efficient iterative method based on two-stage splitting methods to solve weakly nonlinear systems Journal Article
In: Mathematics, vol. 7, no. 9, 2019.
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.
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.
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.
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.
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.
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.
Fixed point root-finding methods of fourth-order of convergence Journal Article
In: Symmetry, vol. 11, no. 6, 2019.
Generalized high-order classes for solving nonlinear systems and their applications Journal Article
In: Mathematics, vol. 7, no. 12, 2019.
Generating root-finder iterative methods of second order: Convergence and stability Journal Article
In: Axioms, vol. 8, no. 2, 2019.
Iterative methods with memory for solving systems of nonlinear equations using a second order approximation Journal Article
In: Mathematics, vol. 7, no. 11, 2019.
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).
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).
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).
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.
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).
Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics Journal Article
In: vol. 16, no. 3, 2019.
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.
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.
Stability analysis of Jacobian-free Newton's iterative method Journal Article
In: Algorithms, vol. 12, no. 11, 2019.
Stability and applicability of iterative methods with memory Journal Article
In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1282 – 1300, 2019.
Stability anomalies of some jacobian-free iterative methods of high order of convergence Journal Article
In: Axioms, vol. 8, no. 2, 2019.
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.
The enhancement of academic performance in online environments Journal Article
In: vol. 7, no. 12, 2019.
Wide stability in a new family of optimal fourth-order iterative methods Journal Article
In: Computational and Mathematical Methods, vol. 1, no. 2, 2019.
2018
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).
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).
An efficient family of optimal eighth-order multiple root finders Journal Article
In: Mathematics, vol. 6, no. 12, 2018.
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.
Bidirectional WDM-OOFDM access network based on a sliceable optical transceiver with colorless ONUs Journal Article
In: vol. 45, pp. 98 – 105, 2018.
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.
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.
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).
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).
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).
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.
Dynamical techniques for analyzing iterative schemes with memory Journal Article
In: Complexity, vol. 2018, 2018.
Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices Journal Article
In: Mathematical Problems in Engineering, vol. 2018, 2018.
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.
High-order extension of an efficient iterative method for solving nonlinear problems Proceedings Article
In: AIP Conference Proceedings, 2018.
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.
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).
Local convergence study for multiple roots. Estimating the multiplicity Conference
vol. 1978, 2018, (Cited by: 0).
Mathematical modeling and computational methods Journal Article
In: Journal of Computational and Applied Mathematics, vol. 330, pp. 661 – 665, 2018.
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.
New iterative methods for solving nonlinear problems with one and several unknowns Journal Article
In: Mathematics, vol. 6, no. 12, 2018.
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).
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.
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.
Preface of the "iterative Procedures for Solving Nonlinear Problems" Proceedings Article
In: AIP Conference Proceedings, 2018.
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.
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).
Software assisted energy efficient and flexible wdm-pon access networks Journal Article
In: vol. 915, pp. 588 – 595, 2018.
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.
Stability of different families of iterative methods with memory Proceedings Article
In: AIP Conference Proceedings, 2018.
2017
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.
A family of Kurchatov-type methods and its stability Journal Article
In: Applied Mathematics and Computation, vol. 294, pp. 264 – 279, 2017.
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.
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.
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.
Broadband Optical Sources for Low-Cost WDM-MB-OFDM Networks Journal Article
In: vol. 21, no. 8, pp. 1759 – 1762, 2017.
Design and multidimensional extension of iterative methods for solving nonlinear problems Journal Article
In: Applied Mathematics and Computation, vol. 293, pp. 194 – 203, 2017.
Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems Journal Article
In: Complexity, vol. 2017, 2017.
King-type derivative-free iterative families: Real and memory dynamics Journal Article
In: Complexity, vol. 2017, 2017.
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).
Mathematical Modeling and Computational Methods Journal Article
In: Journal of Computational and Applied Mathematics, vol. 309, pp. 320 – 324, 2017.
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.
Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants Journal Article
In: Discrete Dynamics in Nature and Society, vol. 2017, 2017.
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).
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.
2017, (Publication Title: Mathematical Research Summaries).
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.
OOFDM Signal Transmission Using a Single Optical Broadband Source Journal Article
In: vol. 29, no. 7, pp. 563 – 566, 2017.
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).
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.
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.
Stable high-order iterative methods for solving nonlinear models Journal Article
In: Applied Mathematics and Computation, vol. 303, pp. 70 – 88, 2017.
Third-degree anomalies of Traub's method Journal Article
In: Journal of Computational and Applied Mathematics, vol. 309, pp. 511 – 521, 2017.
Widening basins of attraction of optimal iterative methods Journal Article
In: Nonlinear Dynamics, vol. 87, no. 2, pp. 913 – 938, 2017.
2016
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.
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.
Analysis and Models in Interdisciplinary Mathematics 2016 Journal Article
In: Abstract and Applied Analysis, vol. 2016, 2016.
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.
Damped Traub's method: Convergence and stability Journal Article
In: Mathematics and Computers in Simulation, vol. 119, pp. 57 – 68, 2016.
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).
Dynamics of a multipoint variant of Chebyshev-Halley's family Journal Article
In: Applied Mathematics and Computation, vol. 284, pp. 195 – 208, 2016.
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).
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).
Mathematical modeling and computational methods Journal Article
In: Journal of Computational and Applied Mathematics, vol. 291, pp. 1 – 4, 2016.
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.
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).
On the design of optimal iterative methods for solving nonlinear equations Journal Article
In: SEMA SIMAI Springer Series, vol. 10, pp. 79 – 111, 2016.
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.
Paired SSB optical OFDM channels for high spectral efficient signal transmission over DWDM networks Journal Article
In: vol. 370, pp. 239 – 244, 2016.
Real and Complex Dynamics of Iterative Methods Journal Article
In: Discrete Dynamics in Nature and Society, vol. 2016, 2016.
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).
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).
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.
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.
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.
Study of iterative methods through the Cayley Quadratic Test Journal Article
In: Journal of Computational and Applied Mathematics, vol. 291, pp. 358 – 369, 2016.
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.
2015
A Hadamard product involving inverse-positive matrices Journal Article
In: Special Matrices, vol. 3, no. 1, pp. 193 – 199, 2015.
A multidimensional dynamical approach to iterative methods with memory Journal Article
In: Applied Mathematics and Computation, vol. 271, pp. 701 – 715, 2015.
A new family of iterative methods widening areas of convergence Journal Article
In: Applied Mathematics and Computation, vol. 252, pp. 405 – 417, 2015.
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.
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.
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.
An efficient two-parametric family with memory for nonlinear equations Journal Article
In: Numerical Algorithms, vol. 68, no. 2, pp. 323 – 335, 2015.
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.
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).
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).
Design of high-order iterative methods for nonlinear systems by using weight function procedure Journal Article
In: Abstract and Applied Analysis, vol. 2015, 2015.
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).
Dynamics and fractal dimension of steffensen-type methods Journal Article
In: Algorithms, vol. 8, no. 2, pp. 271 – 279, 2015.
Dynamics of the family of c-iterative methods Journal Article
In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1815 – 1825, 2015.
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.
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.
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.
Multidimensional Homeier’s generalized class and its application to planar 1D Bratu problem Journal Article
In: SeMA Journal, vol. 70, no. 1, 2015.
Numerical solution of turbulence problems by solving Burger' equation Journal Article
In: Algorithms, vol. 8, no. 2, pp. 224 – 233, 2015.
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.
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.
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).
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.
Recent theories and applications in approximation theory Journal Article
In: Scientific World Journal, vol. 2015, 2015.
Solving nonlinear problems by Ostrowski–Chun type parametric families Journal Article
In: Journal of Mathematical Chemistry, vol. 53, no. 1, pp. 430 – 449, 2015.
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.
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.
2014
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.
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.
An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem Book
2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).
Basins of attraction for various steffensen-type methods Journal Article
In: Journal of Applied Mathematics, vol. 2014, 2014.
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.
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.
Efficient iterative methods for approximating multiple roots Journal Article
In: Civil-Comp Proceedings, vol. 105, 2014, (Cited by: 0).
Iterative fixed-point methods for solving nonlinear problems: Dynamics and applications Journal Article
In: Abstract and Applied Analysis, vol. 2014, 2014.
Iterative methods for nonlinear equations or systems and their applications 2014 Journal Article
In: Journal of Applied Mathematics, vol. 2014, 2014.
Modifications of Newton’s method to extend the convergence domain Journal Article
In: SeMA Journal, vol. 66, no. 1, pp. 43 – 53, 2014.
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.
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.
2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).
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.
Optimal high-order methods for solving nonlinear equations Journal Article
In: Journal of Applied Mathematics, vol. 2014, 2014.
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.
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).
Some iterative methods for solving nonlinear matrix equations Journal Article
In: Civil-Comp Proceedings, vol. 105, 2014.
Some results on B-matrices and doubly B-matrices Journal Article
In: Linear Algebra and Its Applications, vol. 459, pp. 101 – 120, 2014.
Stability of a fourth-order family of iterative methods for solving nonlinear problems Journal Article
In: Civil-Comp Proceedings, vol. 105, 2014.
Two Optimal General Classes of Iterative Methods with Eighth-Order Journal Article
In: Acta Applicandae Mathematicae, vol. 134, no. 1, pp. 61 – 74, 2014.
2013
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.
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).
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.
Chaos in King's iterative family Journal Article
In: Applied Mathematics Letters, vol. 26, no. 8, pp. 842 – 848, 2013.
Complex dynamics of derivative-free methods for nonlinear equations Journal Article
In: Applied Mathematics and Computation, vol. 219, no. 12, pp. 7023 – 7035, 2013.
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.
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).
Drawing dynamical and parameters planes of iterative families and methods Journal Article
In: The Scientific World Journal, vol. 2013, 2013.
Dynamics of a family of Chebyshev-Halley type methods Journal Article
In: Applied Mathematics and Computation, vol. 219, no. 16, pp. 8568 – 8583, 2013.
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.
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.
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.
Iterative methods for nonlinear equations or systems and their applications Journal Article
In: Journal of Applied Mathematics, vol. 2013, 2013.
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.
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.
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.
Preliminary orbit determination of artificial satellites: A vectorial sixth-order approach Journal Article
In: Abstract and Applied Analysis, vol. 2013, 2013.
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).
2012
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.
A family of iterative methods with accelerated eighth-order convergence Journal Article
In: Journal of Applied Mathematics, vol. 2012, 2012.
A family of optimal methods for solving nonlinear equations Journal Article
In: Civil-Comp Proceedings, vol. 100, 2012.
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.
Dynamic behaviour of steffensen-type methods Journal Article
In: Civil-Comp Proceedings, vol. 100, 2012.
Fuzzy control system for obstacle detection in 3D tracking Book
2012, (Publication Title: Fuzzy Control Systems).
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.
New predictor-corrector methods with high efficiency for solving nonlinear systems Journal Article
In: Journal of Applied Mathematics, vol. 2012, 2012.
On a novel fourth-order algorithm for solving systems of nonlinear equations Journal Article
In: Journal of Applied Mathematics, vol. 2012, 2012.
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.
Steffensen type methods for solving nonlinear equations? Journal Article
In: Journal of Computational and Applied Mathematics, vol. 236, no. 12, pp. 3058 – 3064, 2012.
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.
Using optical flow for analyzing the dynamics of the bouncing ball system Journal Article
In: Civil-Comp Proceedings, vol. 100, 2012, (Cited by: 0).
2011
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.
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.
Accelerated Steffensen-type methods for solving nonlinear systems of equations Proceedings Article
In: AIP Conference Proceedings, pp. 1053 – 1056, 2011.
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.
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.
Optimal derivative-free methods for solving nonlinear equations Proceedings Article
In: AIP Conference Proceedings, pp. 1049 – 1052, 2011.
Preface of the "Advances in numerical methods for solving nonlinear equations and systems" Proceedings Article
In: AIP Conference Proceedings, pp. 1044 – 1045, 2011.
Sign pattern matrices that admit P0-matrices Journal Article
In: Linear Algebra and Its Applications, vol. 435, no. 8, pp. 2046 – 2053, 2011.
Some results about inverse-positive matrices Journal Article
In: Applied Mathematics and Computation, vol. 218, no. 1, pp. 130 – 139, 2011.
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).
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.
2010
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.
A modified Newton-Jarratt's composition Journal Article
In: Numerical Algorithms, vol. 55, no. 1, pp. 87 – 99, 2010.
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.
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.
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.
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).
Iterative processes with high order of convergence for nonlinear systems Proceedings Article
In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.
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.
Newton-like methods for nonlinear systems with competitive efficiency indices Proceedings Article
In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.
Numerical methods for orbit determination of artificial satellites Proceedings Article
In: Proceedings of the 7th International Conference on Engineering Computational Technology, 2010.
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.
2009
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.
Inverse-positive matrices with checkerboard pattern Journal Article
In: Lecture Notes in Control and Information Sciences, vol. 389, pp. 185 – 194, 2009.
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.
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.
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.
N0 completions on partial matrices Journal Article
In: Applied Mathematics and Computation, vol. 211, no. 2, pp. 303 – 312, 2009.
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.
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.
The number of viable ecological trophic networks Journal Article
In: Mathematical and Computer Modelling, vol. 50, no. 5-6, pp. 947 – 952, 2009.
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.
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.
2008
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.
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.
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.
Bidiagonal factorizations and quasi-oscillatory rectangular matrices Journal Article
In: Linear Algebra and Its Applications, vol. 429, no. 8-9, pp. 1886 – 1893, 2008.
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.
2007
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.
Generalized oscillatory matrices Proceedings Article
In: AIP Conference Proceedings, pp. 237 – 240, 2007.
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.
2006
Bidiagonal factorization of totally nonnegative rectangular matrices Journal Article
In: Lecture Notes in Control and Information Sciences, vol. 341, pp. 33 – 40, 2006.
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.
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.
2005
The doubly negative matrix completion problem Journal Article
In: Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 295 – 306, 2005.
The symmetric N-matrix completion problem Journal Article
In: Linear Algebra and Its Applications, vol. 406, no. 1-3, pp. 235 – 252, 2005.
2004
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.
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.
The totally positive completion problem Journal Article
In: Linear Algebra and Its Applications, vol. 393, no. 1-3, pp. 259 – 274, 2004.
2003
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.
N-matrix completion problem Journal Article
In: Linear Algebra and Its Applications, vol. 371, no. SUPPL., pp. 111 – 125, 2003.
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.
2002
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.
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).
2001
Graphs and controllability completion problems Journal Article
In: Linear Algebra and Its Applications, vol. 332-334, pp. 355 – 370, 2001.
2000
Completion problems of partial inverse M-matrix Book
2000, (Publication Title: Recent Advances in Applied and Theoretical Mathematics).
P-matrix completions under weak symmetry assumptions Journal Article
In: Linear Algebra and Its Applications, vol. 312, no. 1-3, pp. 73 – 91, 2000.
1998
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.
1997
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.
1992
Some properties which generalize uniform rotundity of Banach spaces Journal Article
In: Archiv der Mathematik, vol. 59, no. 5, pp. 457 – 467, 1992.