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
2025
Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations Journal Article
In: Applied Mathematics and Computation, vol. 492, 2025.
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.
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.
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.
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.
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.
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.
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 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.
High-efficiency implicit scheme for solving first-order partial differential equations Journal Article
In: Results in Applied Mathematics, vol. 24, 2024.
Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems Journal Article
In: Mathematics, vol. 12, no. 21, 2024.
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.
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.
A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations Journal Article
In: Algorithms, vol. 17, no. 2, 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.
Inverse matrix estimations by iterative methods with weight functions and their stability analysis Journal Article
In: Applied Mathematics Letters, vol. 155, 2024.
An efficient extension of three-step optimal iterative scheme into with memory and its stability Journal Article
In: Journal of Analysis, 2024.
Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes Journal Article
In: Numerical Algorithms, vol. 97, no. 4, pp. 2011 – 2029, 2024.
Modifying Kurchatov's method to find multiple roots of nonlinear equations Journal Article
In: Applied Numerical Mathematics, vol. 198, pp. 11 – 21, 2024.
2023
In: Mathematics, vol. 11, no. 20, 2023.
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.
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.
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.
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems Journal Article
In: Algorithms, vol. 16, no. 3, 2023.
An iterative scheme to obtain multiple solutions simultaneously Journal Article
In: Applied Mathematics Letters, vol. 145, 2023.
A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve Journal Article
In: Algorithms, vol. 16, no. 3, 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.
Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots Journal Article
In: Mathematics, vol. 11, no. 15, 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.
Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications” Journal Article
In: Symmetry, vol. 15, no. 6, 2023.
Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Journal Article
In: Fractal and Fractional, vol. 7, no. 8, 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.
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.
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.
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.