Eulalia Martínez

ASSOCIATE PROFESSOR

Eulalia Martínez

Eulalia Martínez has a Bachelor in Mathematical Sciences (1986, Universitat de València). She also holds a PhD in Mathematics (2002, Universitat Politècnica de València) with her Thesis “Introducción de penalizaciones de giro en los problemas de rutas por arcos sobre grafos mixtos” supervised by David Soler.

She currently serves as Associate Professor at Telecommunications Engineering School, Universitat Politècnica de València. She is member of the University Institute for Multidisciplinary Mathematics.

Publications

98 entries « 1 of 2 »

2025

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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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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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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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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Martínez, Eulalia; Sharma, Debasis

Expansion of Convergence Domain of a Parameter-Based Iteration Scheme for Equations in Banach Spaces Journal Article

In: Symmetry, vol. 17, no. 11, 2025, (Cited by: 0).

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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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2024

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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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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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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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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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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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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2023

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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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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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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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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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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2022

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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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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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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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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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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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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2021

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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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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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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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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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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2020

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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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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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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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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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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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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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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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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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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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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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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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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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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2019

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 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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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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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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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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2018

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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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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98 entries « 1 of 2 »