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.
He publishes several papers about locally convex spaces and Banach spaces in the 90s. Afterwards, he launched the research in Linear Algebra, Matrix Analysis and Combinatorics. He has supervised several PhD Thesis about these topics. He also has published an important number of papers in journals of this area such as Linear Algebra and its Applications, Applied Mathematics Letters y SIAM Journal Matrix Analysis.
His current research is developed in Numerical Analysis. He is focused on different problems about the solution of nonlinear equations and systems, matrix equations and dynamical analysis of rational functions involver in the iterative methods.
He has published more than 200 papers in JCR journals and he also has presented a large number of communications in international conferences.
He is editor of the journals Abstract and Applied Analysis, Journal of Applied Mathematics, Jounal of Computational and Applied Mathematics and Discrete Dynamics and Nature and Society.
He assists as reviewer in American Mathematical Society and zbMATH, and as referee in many journals included in JCR.
Nowadays, he is the main reseracher of a project of the Spanish Ministry of Enonomics and Competitiveness, as well as a Prometeo project of the Generalitat Valenciana.
2018
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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon Dynamics of iterative families with memory based on weight functions procedure Journal Article Journal of Computational and Applied Mathematics, 2018, ISSN: 0377-0427. Abstract | BibTeX @article{2018JCAMCCT,
title = {Dynamics of iterative families with memory based on weight functions procedure},
author = {Francisco Israel Chicharro and Alicia Cordero and Juan Ramon Torregrosa},
issn = {0377-0427},
year = {2018},
date = {2018-01-22},
journal = {Journal of Computational and Applied Mathematics},
abstract = {In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth-order schemes without memory designed by means of weight functions procedure. By studying the real fixed and critical points of the rational function resulting from the application of the family with memory on quadratic polynomials, the best elements of the family, in terms of absence of chaotic behavior, are selected. Finally, a numerical study is performed verifying the dynamical theoretical results.},
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In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth-order schemes without memory designed by means of weight functions procedure. By studying the real fixed and critical points of the rational function resulting from the application of the family with memory on quadratic polynomials, the best elements of the family, in terms of absence of chaotic behavior, are selected. Finally, a numerical study is performed verifying the dynamical theoretical results. |
Cordero, A; Jordán, C; Sanabria-Codesal, E; Torregrosa, J R Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5 Journal Article Journal of Computational and Applied Mathematics, 330 , pp. 748-758, 2018, (cited By 1). Links | BibTeX @article{Cordero2018748,
title = {Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5},
author = {A Cordero and C Jordán and E Sanabria-Codesal and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85016035481&doi=10.1016%2fj.cam.2017.02.032&partnerID=40&md5=a2a588737953195a320679b395f72f57},
doi = {10.1016/j.cam.2017.02.032},
year = {2018},
date = {2018-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {330},
pages = {748-758},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Guasp, L; Torregrosa, J R Choosing the most stable members of Kou's family of iterative methods Journal Article Journal of Computational and Applied Mathematics, 330 , pp. 759-769, 2018, (cited By 1). Links | BibTeX @article{Cordero2018759,
title = {Choosing the most stable members of Kou's family of iterative methods},
author = {A Cordero and L Guasp and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014058481&doi=10.1016%2fj.cam.2017.02.012&partnerID=40&md5=8c2420f0c9d53e98cacc9c21fab7a1b2},
doi = {10.1016/j.cam.2017.02.012},
year = {2018},
date = {2018-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {330},
pages = {759-769},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Jodar, L; Torregrosa, J R; Cortés, J C; Criado, R Mathematical modeling and computational methods Journal Article Journal of Computational and Applied Mathematics, 330 , pp. 661-665, 2018, (cited By 0). Links | BibTeX @article{Jodar2018661,
title = {Mathematical modeling and computational methods},
author = {L Jodar and J R Torregrosa and J C Cortés and R Criado},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85032374780&doi=10.1016%2fj.cam.2017.10.015&partnerID=40&md5=4429246c1165bbc019911e6579e19915},
doi = {10.1016/j.cam.2017.10.015},
year = {2018},
date = {2018-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {330},
pages = {661-665},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
2017
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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon; Vassileva, Maria Penkova King-Type Derivative-Free Iterative Families: Real and Memory Dynamics Journal Article Complexity, 2017 (2713145), pp. 1-15, 2017, ISSN: 1076-2787. Abstract | Links | BibTeX @article{CCTV-CCOM17,
title = {King-Type Derivative-Free Iterative Families: Real and Memory Dynamics},
author = {Francisco Israel Chicharro and Alicia Cordero and Juan Ramon Torregrosa and Maria Penkova Vassileva},
editor = {Guido Caldarelli},
url = {https://www.hindawi.com/journals/complexity/2017/2713145/https://www.hindawi.com/journals/complexity/2017/2713145/},
doi = {10.1155/2017/2713145},
issn = {1076-2787},
year = {2017},
date = {2017-10-31},
journal = {Complexity},
volume = {2017},
number = {2713145},
pages = {1-15},
abstract = {A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented. From the error equation of this class, different families of iterative schemes with memory can be designed increasing the order of convergence up to six. The real stability analysis of the biparametric family without memory is made on quadratic polynomials, finding areas in the parametric plane with good performance. Moreover, in order to study the real behavior of the parametric class with memory, we associate it with a discrete multidimensional dynamical system. By analyzing the fixed and critical points of its vectorial rational function, we can select those methods with best stability properties.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented. From the error equation of this class, different families of iterative schemes with memory can be designed increasing the order of convergence up to six. The real stability analysis of the biparametric family without memory is made on quadratic polynomials, finding areas in the parametric plane with good performance. Moreover, in order to study the real behavior of the parametric class with memory, we associate it with a discrete multidimensional dynamical system. By analyzing the fixed and critical points of its vectorial rational function, we can select those methods with best stability properties. |
2018
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Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramon Anomalies in the convergence of Traub-type methods with memory Proceeding 18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July 2018, ISBN: 978-84-697-7861-6. BibTeX @proceedings{GarridoCMMSE2018,
title = {Anomalies in the convergence of Traub-type methods with memory},
author = {Francisco Israel Chicharro and Alicia Cordero and Neus Garrido and Juan Ramon Torregrosa},
isbn = {978-84-697-7861-6},
year = {2018},
date = {2018-07-12},
organization = {18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
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Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramon Wide stability in a new family of optimal fourth-order iterative methods Proceeding 18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July 2018, ISBN: 978-84-697-7861-6. BibTeX @proceedings{ChicharrocMMSE2018,
title = {Wide stability in a new family of optimal fourth-order iterative methods},
author = {Francisco Israel Chicharro and Alicia Cordero and Neus Garrido and Juan Ramon Torregrosa},
isbn = {978-84-697-7861-6},
year = {2018},
date = {2018-07-12},
organization = {18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
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Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan Ramon; Rafi, Aneeqa A class of four parametric with- and without memory root finding methods Proceeding 18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July 2018, ISBN: 978-84-697-7861-6. BibTeX @proceedings{ZafarCMMSE2018,
title = {A class of four parametric with- and without memory root finding methods},
author = {Fiza Zafar and Alicia Cordero and Juan Ramon Torregrosa and Aneeqa Rafi},
isbn = {978-84-697-7861-6},
year = {2018},
date = {2018-07-12},
organization = {18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
}
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Amiri, Abdolreza; Cordero, Alicia; Darvishi, M T; Torregrosa, Juan Ramon Stability analysis of Jacobian-free Newton's iterative method Proceeding 18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July 2018, ISBN: 978-84-697-7861-6. BibTeX @proceedings{AmiriCMMSE2018,
title = {Stability analysis of Jacobian-free Newton's iterative method},
author = {Abdolreza Amiri and Alicia Cordero and M T Darvishi and Juan Ramon Torregrosa},
isbn = {978-84-697-7861-6},
year = {2018},
date = {2018-07-12},
organization = {18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
}
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Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan Ramon; Zafar, Fiza On the computing of the inverse and Moore-Penrose inverse of complex matrices Proceeding 18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July 2018, ISBN: 978-84-697-7861-6. BibTeX @proceedings{ArtidielloCMMSE2018,
title = {On the computing of the inverse and Moore-Penrose inverse of complex matrices},
author = {Santiago Artidiello and Alicia Cordero and Juan Ramon Torregrosa and Fiza Zafar},
isbn = {978-84-697-7861-6},
year = {2018},
date = {2018-07-12},
organization = {18th International Conference on Computational and Mathematical Methods in Science and Engineering. Rota (Spain), July},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
}
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2016
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Torregrosa, Juan Ramon; Cordero, Alicia On the design of optimal iterative methods for solving nonlinear equations Book Chapter Amat, Sergio; Busquier, Sonia (Ed.): Advances in iterative methods for nonlinear equations, Chapter 4, pp. 79-112, Springer, 2016, ISBN: 978-3-319-39228-8. Links | BibTeX @inbook{Sánchez2016,
title = {On the design of optimal iterative methods for solving nonlinear equations},
author = {Juan Ramon Torregrosa and Alicia Cordero},
editor = {Sergio Amat and Sonia Busquier},
url = {http://www.springer.com/us/book/9783319392271},
isbn = {978-3-319-39228-8},
year = {2016},
date = {2016-01-01},
booktitle = {Advances in iterative methods for nonlinear equations},
issuetitle = {On the design of optimal iterative methods for solving nonlinear equations},
pages = {79-112},
publisher = {Springer},
chapter = {4},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
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Cordero, Alicia; Torregrosa, Juan Ramon; Vassileva, Maria Penkova Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems Book Chapter Lee, Dongbin; Burg, Tim; Volos, Christos (Ed.): Nonlinear systems, Chapter 5, pp. 87 - 116, Intech, 2016, ISBN: 978-953-51-4714-5. Links | BibTeX @inbook{Cordero2016b,
title = {Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems},
author = {Alicia Cordero and Juan Ramon Torregrosa and Maria Penkova Vassileva},
editor = {Dongbin Lee and Tim Burg and Christos Volos},
url = {https://www.intechopen.com/books/nonlinear-systems-design-analysis-estimation-and-control},
isbn = {978-953-51-4714-5},
year = {2016},
date = {2016-01-01},
booktitle = {Nonlinear systems},
issuetitle = {Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems},
pages = {87 - 116},
publisher = {Intech},
chapter = {5},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
|
2014
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Abad, Manuel; Cordero, Alicia; Torregrosa, Juan Ramon An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem Book Chapter López, Juan Carlos Cortés; Sánchez, Lucas Antonio Jódar; Micó, Rafael Jacinto Villanueva (Ed.): Mathematical Modeling in Social Sciences and Engineering, Chapter 18, pp. 185-194, Nova Science Publishers, 2014, ISBN: 978-163117339-4, (cited By 0). Links | BibTeX @inbook{Abad2014185,
title = {An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem},
author = {Manuel Abad and Alicia Cordero and Juan Ramon Torregrosa},
editor = {Juan Carlos Cortés López and Lucas Antonio Jódar Sánchez and Rafael Jacinto Villanueva Micó},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84948962708&partnerID=40&md5=1064e3dc786dca6c9ad4b53ebf6b386b},
isbn = {978-163117339-4},
year = {2014},
date = {2014-01-01},
booktitle = {Mathematical Modeling in Social Sciences and Engineering},
issuetitle = {An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem},
pages = {185-194},
publisher = {Nova Science Publishers},
chapter = {18},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
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Cordero, Alicia; Torregrosa, Juan Ramon; Vassileva, Maria Penkova On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods Book Chapter López, Juan Carlos Cortés; Sánchez, Lucas Antonio Jódar; Micó, Rafael Jacinto Villanueva (Ed.): Mathematical Modeling in Social Sciences and Engineering, Chapter 20, pp. 207-216, Nova Science Publishers, 2014, ISBN: 978-163117339-4. Links | BibTeX @inbook{Cordero2014207b,
title = {On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods},
author = {Alicia Cordero and Juan Ramon Torregrosa and Maria Penkova Vassileva},
editor = {Juan Carlos Cortés López and Lucas Antonio Jódar Sánchez and Rafael Jacinto Villanueva Micó},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84948989327&partnerID=40&md5=3985e57bc8c6cb04367511b63495283d},
isbn = {978-163117339-4},
year = {2014},
date = {2014-01-01},
booktitle = {Mathematical Modeling in Social Sciences and Engineering},
issuetitle = {On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods},
pages = {207-216},
publisher = {Nova Science Publishers},
chapter = {20},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
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2012
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Parrilla, E; Riera, J; Torregrosa, Juan Ramon; Hueso, Jose Luis Fuzzy control system for obstacle detection in 3D tracking Book Chapter Vukadinovic, Dinko (Ed.): Fuzzy Control Systems, Chapter 5, pp. 95-116, Nova Science Publishers, 2012, ISBN: 978-161324488-3. Links | BibTeX @inbook{Parrilla201295,
title = {Fuzzy control system for obstacle detection in 3D tracking},
author = {E Parrilla and J Riera and Juan Ramon Torregrosa and Jose Luis Hueso},
editor = {Dinko Vukadinovic},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84895249161&partnerID=40&md5=70b423f51045043a88ac8d3aebcc536f},
isbn = {978-161324488-3},
year = {2012},
date = {2012-01-01},
booktitle = {Fuzzy Control Systems},
issuetitle = {Fuzzy control system for obstacle detection in 3D tracking},
pages = {95-116},
publisher = {Nova Science Publishers},
chapter = {5},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
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