acordero@mat.upv.es

Alicia Cordero is Bachelor in Mathematic Sciences (1995, Universitat de València). He obtained the PhD in Mathematics (2003, Universitat Jaume I) defending her PhD Thesis “Cadenas de órbitas periódicas en la variedad S2xS1“, supervised by José Martínez and Pura Vindel.

Along these years, she published many papers about the decomposition into round loops of three-dimensional varieties, links of periodic orbits of non-singular Morse-Smale fluxes and their applications to Celestial Mechanics.

She is Full Professor of Applied Mathematics in the Institute for Multidisciplinary Mathematics of the Polytechnical University of València.

Her current research is focused in dynamical systems and numerical analysis, highlighting the iterative methods for solving nonlinear equations and systems, as well as the dynamical study of the rational functions involved in these processes.

Se has published more than 100 papers in JCR Journals. She also has presented numerous communications in international conferences.

Moreover, she is editor of the journals “Abstract and Applied Analysis”, “Journal of Applied Mathematics, “Discrete Dynamics in Nature and Society” and “Algorithms”.

Papers

129 entries « 1 of 3 »

2018

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

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

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

2017

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

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations Journal Article

Nonlinear Dynamics, pp. 1-32, 2017, (cited By 0; Article in Press).

Links | BibTeX

Cordero, A; Guasp, L; Torregrosa, J R

CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior Journal Article

Journal of Mathematical Chemistry, pp. 1-22, 2017, (cited By 0; Article in Press).

Links | BibTeX

Cordero, A; Torregrosa, J R

A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix Journal Article

Journal of Computational and Applied Mathematics, 318 , pp. 591-598, 2017, (cited By 0).

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Cordero, A; Soleymani, F; Torregrosa, J R; Ullah, M Z

Numerically stable improved Chebyshev–Halley type schemes for matrix sign function Journal Article

Journal of Computational and Applied Mathematics, 318 , pp. 189-198, 2017, (cited By 0).

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Cordero, A; Jordán, C; Torregrosa, J R

A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory? Journal Article

Journal of Computational and Applied Mathematics, 318 , pp. 335-347, 2017, (cited By 0).

Links | BibTeX

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

An eighth-order family of optimal multiple root finders and its dynamics Journal Article

Numerical Algorithms, pp. 1-24, 2017, (cited By 0; Article in Press).

Links | BibTeX

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

Stable high-order iterative methods for solving nonlinear models Journal Article

Applied Mathematics and Computation, 303 , pp. 70-88, 2017, (cited By 0).

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Cordero, A; Maimó, J G; Torregrosa, J R; Vassileva, M P

Stability of a fourth order bi-parametric family of iterative methods Journal Article

Journal of Computational and Applied Mathematics, 312 , pp. 94-102, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Soleymani, F; Torregrosa, J R; Haghani, F K

A family of Kurchatov-type methods and its stability Journal Article

Applied Mathematics and Computation, 294 , pp. 264-279, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Gómez, E; Torregrosa, J R

Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems Journal Article

Complexity, 2017 , 2017, (cited By 0).

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Argyros, I K; Cordero, A; Magreñán, Á A; Torregrosa, J R

On the convergence of a higher order family of methods and its dynamics Journal Article

Journal of Computational and Applied Mathematics, 309 , pp. 542-562, 2017, (cited By 2).

Links | BibTeX

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations Journal Article

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 60 (2), pp. 127-140, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R

Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants Journal Article

Discrete Dynamics in Nature and Society, 2017 , 2017, (cited By 0).

Links | BibTeX

Bakhtiari, P; Cordero, A; Lotfi, T; Mahdiani, K; Torregrosa, J R

Widening basins of attraction of optimal iterative methods Journal Article

Nonlinear Dynamics, 87 (2), pp. 913-938, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Jordán, C; Torregrosa, J R

A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory? Journal Article

Journal of Computational and Applied Mathematics, 318 , pp. 335-347, 2017, (cited By 0).

Links | BibTeX

Campos, B; Cordero, A; Torregrosa, J R; Vindel, P

Stability of King's family of iterative methods with memory Journal Article

Journal of Computational and Applied Mathematics, 318 , pp. 504-514, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Torregrosa, J R; Vassileva, M P

A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016 Journal Article

Journal of Mathematical Chemistry, 55 (7), pp. 1443-1460, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Maimó, J G; Torregrosa, J R; Vassileva, M P

Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016 Journal Article

Journal of Mathematical Chemistry, 55 (7), pp. 1461-1480, 2017, (cited By 0).

Links | BibTeX

Cordero, A; Maimó, J G; Torregrosa, J R; Vassileva, M P

Stability of a fourth order bi-parametric family of iterative methods Journal Article

Journal of Computational and Applied Mathematics, 312 , pp. 94-102, 2017, (cited By 0).

Links | BibTeX

Artidiello, S; Cordero, A; Torregrosa, J R; Vassileva, M P

Design and multidimensional extension of iterative methods for solving nonlinear problems Journal Article

Applied Mathematics and Computation, 293 , pp. 194-203, 2017, (cited By 0).

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Zafar, Fiza; Cordero, Alicia; Quratulain, R; Torregrosa, Juan Ramon

Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters Journal Article

Journal of Mathematical Chemistry, pp. 1-18, 2017, (Article in Press).

Links | BibTeX

2016

Abbasbandy, S; Bakhtiari, P; Cordero, A; Torregrosa, J R; Lotfi, T

New efficient methods for solving nonlinear systems of equations with arbitrary even order Journal Article

Applied Mathematics and Computation, 287-288 , pp. 94-103, 2016, (cited By 0).

Links | BibTeX

Cordero, A; Kansal, M; Kanwar, V; Torregrosa, J R

A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence Journal Article

Numerical Algorithms, 72 (4), pp. 937-958, 2016, (cited By 1).

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Cordero, A; Franques, A; Torregrosa, J R

Chaos and convergence of a family generalizing Homeier’s method with damping parameters Journal Article

Nonlinear Dynamics, 85 (3), pp. 1939-1954, 2016, (cited By 0).

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Cordero, A; Gutiérrez, J M; Magreñán, Á A; Torregrosa, J R

Stability analysis of a parametric family of iterative methods for solving nonlinear models Journal Article

Applied Mathematics and Computation, 285 , pp. 26-40, 2016, (cited By 1).

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Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R; Kanwar, V

An optimal fourth-order family of methods for multiple roots and its dynamics Journal Article

Numerical Algorithms, 71 (4), pp. 775-796, 2016, (cited By 0).

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Cordero, A; Lotfi, T; Torregrosa, J R; Assari, P; Mahdiani, K

Some new bi-accelerator two-point methods for solving nonlinear equations Journal Article

Computational and Applied Mathematics, 35 (1), pp. 251-267, 2016, (cited By 1).

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Cordero, A; Torregrosa, J R

On the design of optimal iterative methods for solving nonlinear equations Journal Article

SEMA SIMAI Springer Series, 10 , pp. 79-111, 2016, (cited By 1).

Links | BibTeX

Cordero, A; Ferrero, A; Torregrosa, J R

Damped Traub's method: Convergence and stability Journal Article

Mathematics and Computers in Simulation, 119 , pp. 57-68, 2016, (cited By 0).

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Cordero, A; Magreñán, A; Quemada, C; Torregrosa, J R

Stability study of eighth-order iterative methods for solving nonlinear equations Journal Article

Journal of Computational and Applied Mathematics, 291 , pp. 348-357, 2016, (cited By 7).

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Cordero, A; Torregrosa, J R; Neta, B; Lotfi, T

Real and Complex Dynamics of Iterative Methods Journal Article

Discrete Dynamics in Nature and Society, 2016 , 2016, (cited By 0).

Links | BibTeX

Babajee, D K R; Cordero, A; Torregrosa, J R

Study of iterative methods through the Cayley Quadratic Test Journal Article

Journal of Computational and Applied Mathematics, 291 , pp. 358-369, 2016, (cited By 9).

Links | BibTeX

Campos, B; Cordero, A; Torregrosa, J R; Vindel, P

Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family Journal Article

Numerical Algorithms, 73 (1), pp. 141-156, 2016, (cited By 0).

Links | BibTeX

Campos, B; Cordero, A; Torregrosa, J R; Vindel, P

Dynamics of a multipoint variant of Chebyshev-Halley's family Journal Article

Applied Mathematics and Computation, 284 , pp. 195-208, 2016, (cited By 0).

Links | BibTeX

Cordero, A; Torregrosa, J R; Vassileva, M P

Weighted Gaussian correction of Newton-type methods for solving nonlinear systems Journal Article

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 59 (1), pp. 23-38, 2016, (cited By 0).

Links | BibTeX

2015

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dynamics and fractal dimension of Steffensen-type methods Journal Article

Algorithms, 8 , pp. 271–279, 2015.

BibTeX

Budzko, D A; Cordero, A; Torregrosa, J R

New family of iterative methods based on the Ermakov–Kalitkin scheme for solving nonlinear systems of equations Journal Article

Computational Mathematics and Mathematical Physics, 55 (12), pp. 1947-1959, 2015, (cited By 2).

Links | BibTeX

Argyros, I K; Cordero, A; Magreñán, Á A; Torregrosa, J R

Third-degree anomalies of Traub's method Journal Article

Journal of Computational and Applied Mathematics, 2015, (cited By 1; Article in Press).

Links | BibTeX

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

Construction of fourth-order optimal families of iterative methods and their dynamics Journal Article

Applied Mathematics and Computation, 271 , pp. 89-101, 2015, (cited By 3).

Links | BibTeX

Argyros, I K; Cordero, A; Magreñán, A; Torregrosa, J R

On the convergence of a damped Newton-like method with modified right hand side vector Journal Article

Applied Mathematics and Computation, 266 , pp. 927-936, 2015, (cited By 3).

Links | BibTeX

Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R

On developing fourth-order optimal families of methods for multiple roots and their dynamics Journal Article

Applied Mathematics and Computation, 265 , pp. 520-532, 2015, (cited By 6).

Links | BibTeX

Cordero, A; Lotfi, T; Mahdiani, K; Torregrosa, J R

A stable family with high order of convergence for solving nonlinear equations Journal Article

Applied Mathematics and Computation, 254 , pp. 240-251, 2015, (cited By 5).

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Argyros, I K; Cordero, A; Magreñán, Alberto Á; Torregrosa, J R

On the convergence of a Damped Secant method with modified right-hand side vector Journal Article

Applied Mathematics and Computation, 252 , pp. 315-323, 2015, (cited By 1).

Links | BibTeX

Budzko, D; Cordero, A; Torregrosa, J R

A new family of iterative methods widening areas of convergence Journal Article

Applied Mathematics and Computation, 252 , pp. 405-417, 2015, (cited By 3).

Links | BibTeX

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

On the local convergence of a fifth-order iterative method in Banach spaces Journal Article

Applied Mathematics and Computation, 251 , pp. 396-403, 2015, (cited By 8).

Links | BibTeX

Cordero, A; Torregrosa, J R

Low-complexity root-finding iteration functions with no derivatives of any order of convergence Journal Article

Journal of Computational and Applied Mathematics, 275 , pp. 502-515, 2015, (cited By 10).

Links | BibTeX

129 entries « 1 of 3 »

Conferences

2018

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

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

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

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

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

Cordero, Alicia; Maimo, Javier Garcia; Torregrosa, Juan Ramon; Vassileva, Maria Penkova

Multidimensional real dynamics for high-order processes Conference

7th Conference on Finite Difference Methods: Theory and Applications, Lozenetz (Bulgary), June 2018., Department of Mathematics, University of Ruse "A. Kanchev". 2018.

BibTeX

Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan Ramon

A family of optimal eighth order multiple root finders with multivariate weight function Conference

7th Conference on Finite Difference Methods: Theory and Applications, Department of Mathematics, University of Ruse "A. Kanchev". 2018.

BibTeX

Cordero, Alicia; Gimenez, Ivan; Torregrosa, Juan Ramon

Efficiency and stability of a family of iterative schemes for solving nonlinear equations Conference

7th Conference on Finite Difference Methods: Theory and Applications, Department of Mathematics, University of Ruse "A. Kanchev". 2018.

BibTeX

Cordero, Alicia; Guasp, Lucía; Torregrosa, Juan Ramon

Stability of a family of iterative methods of fourth-order Conference

7th Conference on Finite Difference Methods: Theory and Applications, Department of Mathematics, University of Ruse "A. Kanchev". 2018.

BibTeX

Cordero, Alicia; Maimo, Javier Garcia; Torregrosa, Juan Ramon; Vassileva, Maria Penkova

Bi-parametric family of methods with memory based of Ostrowski-Chun method Conference

7th Conference on Finite Difference Methods: Theory and Applications, Department of Mathematics, University of Ruse "A. Kanchev". 2018.

BibTeX

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dinámica real y computación: visualizando la estabilidad de métodos iterativos Conference

Dinámica real y computación: visualizando la estabilidad de métodos iterativos, Instituto de Matemáticas y Aplicaciones de Castellón - Universitat Jaume I 2018.

BibTeX

2017

Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramon

Métodos iterativos con memoria para la resolución de ecuaciones no lineales Proceeding

XII Jornadas de Análisis Numérico y Aplicaciones 2017.

BibTeX

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Análisis de la estabilidad de una nueva familia de métodos iterativos sin memoria de tipo King a partir de la dinámica real Proceeding

XII Jornadas de Análisis Numérico y Aplicaciones 2017.

BibTeX

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Aplicación de aceleradores en una familia de métodos de tipo King para mejorar su orden de convergencia Proceeding

XII Jornadas de Análisis Numérico y Aplicaciones 2017.

BibTeX

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Herramientas gráficas para el estudio de la dinámica real de métodos iterativos de resolución de ecuaciones no lineales sin y con memoria Proceeding

XII Jornadas de Análisis Numérico y Aplicaciones 2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dinámica de métodos iterativos libres de derivadas Proceeding

2017.

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Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramon

Efficient class of iterative schemes with memory for solving nonlinear problems Proceeding

Mathematical Modelling in Engineering and Human Behaviour 2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Stability of different families of iterative methods with memory Proceeding

2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Families of King-type iterative methods with memory for solving nonlinear problems Proceeding

2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

High-Order Extension of an Efficient Iterative Method for Solving Nonlinear Problems Proceeding

2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Memory and Dynamics for a family of King-type iterative methods Proceeding

J. Vigo-Aguiar 2 , 2017.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Real stability of an efficient family of iterative methods for solving nonlinear problems Proceeding

2017.

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Zafar, Fiza; Cordero, Alicia; Quratulain, R; Torregrosa, Juan Ramon

Optimal Iterative Methods for Finding Multiple Roots of Nonlinear Equations using Free Parameters Proceeding

 , ,  (), 2017, ().

Abstract | BibTeX

Sultana, Sana; Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan Ramon

Finding multiple roots of nonlinear equations using eighth-order optimal iterative methods Inproceedings

, (Ed.): Proceedings of Mathematical Modelling in Engineering & Human Behaviour 2017, pp. ,  , , 2017, ().

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2012

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dinámica compleja y dimensión fractal de métodos de tipo Steffensen Proceeding

2012.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

A comparative analysis between some iterative methods from a dynamical point of view Proceeding

Instituto de Matemática Multidisciplinar 1 , 2012.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

A family of fouth-order iterative methods and its dynamics Proceeding

J. Vigo-Aguiar 1 , 2012.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dynamic behaviour of Steffensen-type methods Proceeding

Civil-Comp Press 1 (42), 2012.

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2011

Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Improvements of true anomaly iteration method for preliminary orbit determination Proceeding

Instituto de Matemática Multidisciplinar 1 , 2011.

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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon

Dimensión fractal de métodos iterativos aplicados a la determinación de órbitas de satélites Proceeding

2011.

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Cordero, A; Torregrosa, J R

Preface of the "Advances in numerical methods for solving nonlinear equations and systems" Conference

1389 , 2011, (cited By 0).

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Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R

Accelerated Steffensen-type methods for solving nonlinear systems of equations Conference

1389 , 2011, (cited By 0).

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Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R

Optimal derivative-free methods for solving nonlinear equations Conference

1389 , 2011, (cited By 0).

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2010

Cordero, A; Torregrosa, J R

Modified Newton's methods for systems of nonlinear equations Conference

2 , 2010, (cited By 0).

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Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R

Iterative processes with high order of convergence for nonlinear systems Conference

2010, (cited By 0).

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Arroyo, V; Cordero, A; Torregrosa, J R

Numerical methods for orbit determination of artificial satellites Conference

2010, (cited By 0).

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Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R; Vindel, P

Newton-like methods for nonlinear systems with competitive efficiency indices Conference

2010, (cited By 0).

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