Juan R. Torregrosa
Orcid: 0000-0002-9893-0761Affiliations:
- Technical University of Valencia, Spain
  According to our database1,
  Juan R. Torregrosa
  authored at least 164 papers
  between 2002 and 2025.
  
  
Collaborative distances:
Collaborative distances:
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Online presence:
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    on scopus.com
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    on orcid.org
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    on d-nb.info
On csauthors.net:
Bibliography
  2025
Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme.
    
  
    Comput., 2025
    
  
First optimal vectorial eighth-order iterative scheme for solving non-linear systems.
    
  
    Appl. Math. Comput., 2025
    
  
Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations.
    
  
    Appl. Math. Comput., 2025
    
  
  2024
Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes.
    
  
    Numer. Algorithms, December, 2024
    
  
Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes.
    
  
    J. Appl. Math. Comput., October, 2024
    
  
Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results.
    
  
    Axioms, July, 2024
    
  
A highly efficient class of optimal fourth-order methods for solving nonlinear systems.
    
  
    Numer. Algorithms, April, 2024
    
  
Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations.
    
  
    Axioms, January, 2024
    
  
Increasing in three units the order of convergence of iterative methods for solving nonlinear systems.
    
  
    Math. Comput. Simul., 2024
    
  
Inverse matrix estimations by iterative methods with weight functions and their stability analysis.
    
  
    Appl. Math. Lett., 2024
    
  
    Algorithms, 2024
    
  
  2023
    Appl. Math. Lett., November, 2023
    
  
Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota's Bilinear Technique.
    
  
    Symmetry, September, 2023
    
  
    Numer. Algorithms, July, 2023
    
  
A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve.
    
  
    Algorithms, March, 2023
    
  
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems.
    
  
    Algorithms, March, 2023
    
  
Editorial Conclusion for the Special Issue "Fixed Point Theory and Computational Analysis with Applications".
    
  
    Symmetry, 2023
    
  
Introducing memory to a family of multi-step multidimensional iterative methods with weight function.
    
  
    CoRR, 2023
    
  
  2022
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction.
    
  
    Symmetry, 2022
    
  
Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory.
    
  
    Symmetry, 2022
    
  
On the effect of the multidimensional weight functions on the stability of iterative processes.
    
  
    J. Comput. Appl. Math., 2022
    
  
    J. Comput. Appl. Math., 2022
    
  
    J. Comput. Appl. Math., 2022
    
  
    Appl. Math. Lett., 2022
    
  
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations.
    
  
    Appl. Math. Lett., 2022
    
  
    Algorithms, 2022
    
  
  2021
    Symmetry, 2021
    
  
New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis.
    
  
    Numer. Algorithms, 2021
    
  
A general class of arbitrary order iterative methods for computing generalized inverses.
    
  
    Appl. Math. Comput., 2021
    
  
    Algorithms, 2021
    
  
  2020
    Comput. Math. Methods, 2020
    
  
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory.
    
  
    Appl. Math. Lett., 2020
    
  
  2019
A Variant of Chebyshev's Method with 3<i>α</i>th-Order of Convergence by Using Fractional Derivatives.
    
  
    Symmetry, 2019
    
  
    Symmetry, 2019
    
  
    Numer. Algorithms, 2019
    
  
Dynamical Analysis to Explain the numerical Anomalies in the family of Ermakov-Kalitlin Type Methods.
    
  
    Math. Model. Anal., 2019
    
  
    J. Comput. Appl. Math., 2019
    
  
    J. Comput. Appl. Math., 2019
    
  
    CoRR, 2019
    
  
    Comput. Math. Methods, 2019
    
  
    Comput. Math. Methods, 2019
    
  
Stability Anomalies of Some Jacobian-Free Iterative Methods of High Order of Convergence.
    
  
    Axioms, 2019
    
  
    Axioms, 2019
    
  
    Appl. Math. Lett., 2019
    
  
A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics.
    
  
    Appl. Math. Comput., 2019
    
  
  2018
    Numer. Algorithms, 2018
    
  
Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics.
    
  
    J. Comput. Appl. Math., 2018
    
  
Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5.
    
  
    J. Comput. Appl. Math., 2018
    
  
    J. Comput. Appl. Math., 2018
    
  
Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems.
    
  
    J. Comput. Appl. Math., 2018
    
  
    Complex., 2018
    
  
Dynamical analysis on cubic polynomials of Damped Traub's method for approximating multiple roots.
    
  
    Appl. Math. Comput., 2018
    
  
Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems.
    
  
    Appl. Math. Comput., 2018
    
  
A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function.
    
  
    Proceedings of the Finite Difference Methods. Theory and Applications, 2018
    
  
    Proceedings of the Finite Difference Methods. Theory and Applications, 2018
    
  
    Proceedings of the Finite Difference Methods. Theory and Applications, 2018
    
  
    Proceedings of the Finite Difference Methods. Theory and Applications, 2018
    
  
Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations.
    
  
    Proceedings of the Finite Difference Methods. Theory and Applications, 2018
    
  
  2017
A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix.
    
  
    J. Comput. Appl. Math., 2017
    
  
    J. Comput. Appl. Math., 2017
    
  
A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?
    
  
    J. Comput. Appl. Math., 2017
    
  
    J. Comput. Appl. Math., 2017
    
  
    J. Comput. Appl. Math., 2017
    
  
    J. Comput. Appl. Math., 2017
    
  
Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems.
    
  
    Complex., 2017
    
  
    Complex., 2017
    
  
    Appl. Math. Comput., 2017
    
  
Design and multidimensional extension of iterative methods for solving nonlinear problems.
    
  
    Appl. Math. Comput., 2017
    
  
  2016
A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence.
    
  
    Numer. Algorithms, 2016
    
  
Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family.
    
  
    Numer. Algorithms, 2016
    
  
    Numer. Algorithms, 2016
    
  
    J. Comput. Appl. Math., 2016
    
  
    J. Comput. Appl. Math., 2016
    
  
Stability analysis of a parametric family of iterative methods for solving nonlinear models.
    
  
    Appl. Math. Comput., 2016
    
  
    Appl. Math. Comput., 2016
    
  
New efficient methods for solving nonlinear systems of equations with arbitrary even order.
    
  
    Appl. Math. Comput., 2016
    
  
  2015
    Numer. Algorithms, 2015
    
  
Low-complexity root-finding iteration functions with no derivatives of any order of convergence.
    
  
    J. Comput. Appl. Math., 2015
    
  
    J. Comput. Appl. Math., 2015
    
  
Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces.
    
  
    J. Comput. Appl. Math., 2015
    
  
    Int. J. Interact. Multim. Artif. Intell., 2015
    
  
Some new efficient multipoint iterative methods for solving nonlinear systems of equations.
    
  
    Int. J. Comput. Math., 2015
    
  
    Int. J. Comput. Math., 2015
    
  
    Appl. Math. Comput., 2015
    
  
    Appl. Math. Comput., 2015
    
  
    Appl. Math. Comput., 2015
    
  
    Appl. Math. Comput., 2015
    
  
Construction of fourth-order optimal families of iterative methods and their dynamics.
    
  
    Appl. Math. Comput., 2015
    
  
On developing fourth-order optimal families of methods for multiple roots and their dynamics.
    
  
    Appl. Math. Comput., 2015
    
  
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure.
    
  
    Appl. Math. Comput., 2015
    
  
On the convergence of a damped Newton-like method with modified right hand side vector.
    
  
    Appl. Math. Comput., 2015
    
  
    Appl. Math. Comput., 2015
    
  
    Algorithms, 2015
    
  
  2014
    Numer. Algorithms, 2014
    
  
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane.
    
  
    Math. Comput. Simul., 2014
    
  
    J. Appl. Math., 2014
    
  
    Appl. Math. Comput., 2014
    
  
Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
    
  
    Appl. Math. Comput., 2014
    
  
A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem.
    
  
    Appl. Math. Comput., 2014
    
  
  2013
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation.
    
  
    Math. Comput. Model., 2013
    
  
    Math. Comput. Model., 2013
    
  
Increasing the order of convergence of iterative schemes for solving nonlinear systems.
    
  
    J. Comput. Appl. Math., 2013
    
  
A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations.
    
  
    J. Comput. Appl. Math., 2013
    
  
    J. Appl. Math., 2013
    
  
    Int. J. Comput. Math., 2013
    
  
Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods.
    
  
    Int. J. Comput. Math., 2013
    
  
    Appl. Math. Comput., 2013
    
  
  2012
    J. Comput. Appl. Math., 2012
    
  
    J. Appl. Math., 2012
    
  
    J. Appl. Math., 2012
    
  
    J. Appl. Math., 2012
    
  
    Int. J. Comput. Math., 2012
    
  
Artificial satellites preliminary orbit determination by the modified high-order Gauss method.
    
  
    Int. J. Comput. Math., 2012
    
  
    Appl. Math. Lett., 2012
    
  
Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations.
    
  
    Appl. Math. Comput., 2012
    
  
New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems.
    
  
    Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012
    
  
  2011
    Math. Comput. Model., 2011
    
  
Approximation of artificial satellites' preliminary orbits: The efficiency challenge.
    
  
    Math. Comput. Model., 2011
    
  
    J. Comput. Appl. Math., 2011
    
  
    Appl. Math. Lett., 2011
    
  
    Appl. Math. Comput., 2011
    
  
    Appl. Math. Comput., 2011
    
  
  2010
Efficient three-step iterative methods with sixth order convergence for nonlinear equations.
    
  
    Numer. Algorithms, 2010
    
  
A family of iterative methods with sixth and seventh order convergence for nonlinear equations.
    
  
    Math. Comput. Model., 2010
    
  
    Math. Comput. Model., 2010
    
  
    J. Comput. Appl. Math., 2010
    
  
New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence.
    
  
    J. Comput. Appl. Math., 2010
    
  
    J. Comput. Appl. Math., 2010
    
  
  2009
    Math. Comput. Model., 2009
    
  
    J. Comput. Appl. Math., 2009
    
  
    Appl. Math. Comput., 2009
    
  
Third and fourth order iterative methods free from second derivative for nonlinear systems.
    
  
    Appl. Math. Comput., 2009
    
  
  2008
    Comput. Math. Appl., 2008
    
  
    Appl. Math. Comput., 2008
    
  
    Appl. Math. Comput., 2008
    
  
  2007
    Appl. Math. Lett., 2007
    
  
    Appl. Math. Comput., 2007
    
  
  2006
    Appl. Math. Comput., 2006
    
  
    Proceedings of the Positive Systems, 2006
    
  
  2004
    SIAM J. Matrix Anal. Appl., 2004
    
  
  2003
    Proceedings of the Positive Systems, 2003
    
  
  2002
    Appl. Math. Lett., 2002
    
  
    Appl. Math. Lett., 2002
    
  
    Appl. Math. Lett., 2002