FULL PROFESSOR
Juan R. Torregrosa
Juan Ramón Torregrosa is Bachelor in Mathematical Sciences (Universitat de València) and obtained the PhD (1990, Universitat de València) defending the PhD Thesis “Algunas propiedades geométricas uniformes y no uniformes de un espacio de Banach”.
He is Full Professor of Applied Mathematics in the Institute for Multidisciplinary Mathematics of the Polytechnical University of València.

Publications
2023
Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory Journal Article
In: Mathematics, vol. 11, no. 14, 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.
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.
Reasons for stability in the construction of derivative-free multistep iterative methods Journal Article
In: Mathematical Methods in the Applied Sciences, 2023.
Simultaneous roots for vectorial problems Journal Article
In: Computational and Applied Mathematics, vol. 42, no. 5, 2023.
Three-step iterative weight function scheme with memory for solving nonlinear problems Journal Article
In: Mathematical Methods in the Applied Sciences, 2023.
Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach Journal Article
In: Mathematics, vol. 11, no. 11, 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).
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.
Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods Journal Article
In: Algorithms, vol. 15, no. 10, 2022.
A new higher-order optimal derivative free scheme for multiple roots Journal Article
In: Journal of Computational and Applied Mathematics, vol. 404, 2022.
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Journal Article
In: Applied Mathematics Letters, vol. 124, 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.
High order family of multivariate iterative methods: Convergence and stability Journal Article
In: Journal of Computational and Applied Mathematics, vol. 405, 2022.
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction Journal Article
In: Symmetry, vol. 14, no. 8, 2022.
Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions Journal Article
In: Mathematics, vol. 10, no. 9, 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.
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.
Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory Journal Article
In: Symmetry, vol. 14, no. 3, 2022.
Iterative schemes for finding all roots simultaneously of nonlinear equations Journal Article
In: Applied Mathematics Letters, vol. 134, 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).
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.
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.
Chaos and stability in a new iterative family for solving nonlinear equations Journal Article
In: Algorithms, vol. 14, no. 4, 2021.
The stem methodology and graph theory: Some practical examples Journal Article
In: Mathematics, vol. 9, no. 23, 2021.
A general class of arbitrary order iterative methods for computing generalized inverses Journal Article
In: Applied Mathematics and Computation, vol. 409, 2021.
Memorizing schröder’s method as an efficient strategy for estimating roots of unknown multiplicity Journal Article
In: Mathematics, vol. 9, no. 20, 2021.
A new high-order jacobian-free iterative method with memory for solving nonlinear systems Journal Article
In: Mathematics, vol. 9, no. 17, 2021.
Semilocal convergence of the extension of chun’s method Journal Article
In: Axioms, vol. 10, no. 3, 2021.
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.
A general optimal iterative scheme with arbitrary order of convergence Journal Article
In: Symmetry, vol. 13, no. 5, 2021.
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.
In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 573, 2020.
Impact on stability by the use of memory in traub-type schemes Journal Article
In: Mathematics, vol. 8, no. 2, 2020.
Anomalies in the convergence of Traub-type methods with memory Journal Article
In: Computational and Mathematical Methods, vol. 2, no. 1, 2020.
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.
Reverse teaching as a methodological strategy for mathematics learning in higher education Book
2020, (Publication Title: Didactics of Mathematics: New Trends and Experiences).
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.
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.
Generalized inverses estimations by means of iterative methods with memory Journal Article
In: Mathematics, vol. 8, no. 1, 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.
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.
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.
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.
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.
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.
Stability and applicability of iterative methods with memory Journal Article
In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1282 – 1300, 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.
Fixed point root-finding methods of fourth-order of convergence Journal Article
In: Symmetry, vol. 11, no. 6, 2019.