2026 Juan R. Torregrosa: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2628	2345	48	48	347	5922

Overview

Juan R. Torregrosa is affiliated with the Universitat Politècnica de València in Spain and has contributed extensively to the field of mathematics, with a particular focus on numerical analysis and computational mathematics. Their research work spans several key areas within mathematics, especially iterative methods and optimization algorithms.

The main fields of study for Juan R. Torregrosa include:

Mathematics

Within these fields, the subfields they specialize in are:

Numerical Analysis
Computational Theory and Mathematics
Modeling and Simulation
Computational Mechanics
Mathematical Physics

Their research covers several main topics, with emphasis on:

Iterative Methods for Nonlinear Equations
Advanced Optimization Algorithms Research
Matrix Theory and Algorithms
Fractional Differential Equations Solutions
Advanced Numerical Analysis Techniques
Innovations in Educational Methods
Adaptive optics and wavefront sensing

Juan R. Torregrosa has published in various academic venues. The frequent publication venues where they have contributed most often include:

Mathematics
Mathematical Methods in the Applied Sciences
Preprints.org
Algorithms
Research Square

Recent papers authored or co-authored by Juan R. Torregrosa highlight their focus on iterative methods and nonlinear problems. These include:

Multipoint Fractional Iterative Methods with (2α + 1)th-Order of Convergence for Solving Nonlinear Problems, 2020, published in Mathematics
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations, 2021, published in Applied Mathematics Letters
New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis, 2020, published in Numerical Algorithms
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory, 2020, published in Applied Mathematics Letters
Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems, 2021, published in Mathematics

Juan R. Torregrosa collaborates frequently with other researchers in the field. Their most frequent co-authors include:

Alicia Cordero
María P. Vassileva
Paula Triguero-Navarro
Neus Garrido
Francisco I. Chicharro

Best Publications

Variants of Newton’s Method using fifth-order quadrature formulas☆

Alicia Cordero;Juan R. Torregrosa

601
Citations
A modified Newton-Jarratt’s composition

Alicia Cordero;José L. Hueso;Eulalia Martínez;Juan R. Torregrosa

319
Citations
Drawing Dynamical and Parameters Planes of Iterative Families and Methods

Francisco I. Chicharro;Alicia Cordero;Juan R. Torregrosa

208
Citations
Increasing the convergence order of an iterative method for nonlinear systems

Alicia Cordero;José L. Hueso;Eulalia Martínez;Juan R. Torregrosa

201
Citations
Chaos in King’s iterative family☆

Alicia Cordero;Javier García-Maimó;Juan R. Torregrosa;Maria P. Vassileva

165
Citations
Variants of Newton's method for functions of several variables

A. Cordero;Juan R. Torregrosa

159
Citations
Iterative methods of order four and five for systems of nonlinear equations

Alicia Cordero;Eulalia Martínez;Juan R. Torregrosa

127
Citations
Complex dynamics of derivative-free methods for nonlinear equations

Francisco Chicharro;Alicia Cordero;José M. Gutiérrez;Juan R. Torregrosa

125
Citations
Dynamics of a family of Chebyshev-Halley type methods

Alicia Cordero;Juan R. Torregrosa;Pura Vindel

121
Citations
Three-step iterative methods with optimal eighth-order convergence

Alicia Cordero;Juan R. Torregrosa;María P. Vassileva

102
Citations
New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence

Alicia Cordero;José L. Hueso;Eulalia Martínez;Juan R. Torregrosa

91
Citations
Steffensen type methods for solving nonlinear equations

Alicia Cordero;José L. Hueso;Eulalia Martínez;Juan R. Torregrosa

84
Citations
A class of Steffensen type methods with optimal order of convergence

Alicia Cordero;Juan R. Torregrosa

81
Citations
A fractional Newton method with 2αth-order of convergence and its stability

Ali Akgül;Alicia Cordero;Juan R. Torregrosa

78
Citations
On developing fourth-order optimal families of methods for multiple roots and their dynamics

Ramandeep Behl;Alicia Cordero;S.S. Motsa;Juan R. Torregrosa

66
Citations
An optimal fourth-order family of methods for multiple roots and its dynamics

Ramandeep Behl;Alicia Cordero;Sandile S. Motsa;Juan R. Torregrosa

63
Citations
Modified Newton's method for systems of nonlinear equations with singular Jacobian

José L. Hueso;Eulalia Martínez;Juan R. Torregrosa

62
Citations
Increasing the order of convergence of iterative schemes for solving nonlinear systems

Alicia Cordero;Juan R. Torregrosa;María P. Vassileva

61
Citations
Iterative methods for nonlinear equations or systems and their applications 2014

Juan R. Torregrosa;Ioannis K. Argyros;Changbum Chun;Alicia Cordero

59
Citations
Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations

Alicia Cordero;Jai P. Jaiswal;Juan R. Torregrosa

50
Citations
On the local convergence of a fifth-order iterative method in Banach spaces

A. Cordero;J.A. Ezquerro;M.A. Hernández-Verón;J.R. Torregrosa

42
Citations

Frequent Co-Authors

Alicia Cordero Universitat Politècnica de València

Ioannis K. Argyros Cameron University

Ali Saleh Alshomrani King Abdulaziz University

Saeid Abbasbandy Imam Khomeini International University

Charles R. Johnson William & Mary

Shaun M. Fallat University of Regina

Predrag S. Stanimirović University of Nis

Ali Akgül Siirt University

External Links

Personal website of Juan R. Torregrosa

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