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
2025
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).
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).
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).
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).
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).
Construction of derivative-free iterative schemes with second and third convergence order Book
2025, (Cited by: 0).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
2022
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).
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).
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).
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).
Toward a Unified Theory of Inverse-free Two-Step Point-to-point Iterative Processes Conference
vol. 2425, 2022, (Cited by: 0).
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).
2021
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).
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).
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).
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).
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).
2020
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).
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).
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 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).
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).
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).
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).
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).
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).
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).
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).
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).
Parallel iterative splitting methods: Algorithms and applications Conference
vol. 2293, 2020, (Cited by: 1).
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 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).
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).
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).
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).
2018
Local convergence study for multiple roots. Estimating the multiplicity Conference
vol. 1978, 2018, (Cited by: 0).
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).