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

176 entries « 3 of 4 »

2015

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

Some new efficient multipoint iterative methods for solving nonlinear systems of equations Journal Article

International Journal of Computer Mathematics, 92 (9), pp. 1921-1934, 2015, (cited By 21).

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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 3).

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Vigo-Aguiar, J; Cordero, A; Ramos, H

Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE) Journal Article

Journal of Computational and Applied Mathematics, 275 , pp. 213-215, 2015, (cited By 1).

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

A multidimensional dynamical approach to iterative methods with memory Journal Article

Applied Mathematics and Computation, 271 , pp. 701-715, 2015, (cited By 16).

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

Dynamics of the family of c-iterative methods Journal Article

International Journal of Computer Mathematics, 92 (9), pp. 1815-1825, 2015, (cited By 8).

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

Behaviour of fixed and critical points of the (α, c)-family of iterative methods Journal Article

Journal of Mathematical Chemistry, 53 (3), pp. 807-827, 2015, (cited By 0).

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

One-point Newton-type iterative methods: A unified point of view Journal Article

Journal of Computational and Applied Mathematics, 275 , pp. 366-374, 2015, (cited By 6).

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

Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure Journal Article

Applied Mathematics and Computation, 268 , pp. 1064-1071, 2015, (cited By 12).

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

Design of high-order iterative methods for nonlinear systems by using weight function procedure Journal Article

Abstract and Applied Analysis, 2015 , 2015, (cited By 5).

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

Two weighted eight-order classes of iterative root-finding methods Journal Article

International Journal of Computer Mathematics, 92 (9), pp. 1790-1805, 2015, (cited By 11).

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Argyros, I K; Cordero, A; Magreñán, Á A; 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 2).

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2014

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

Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? Journal Article

Applied Mathematics and Computation, 244 , pp. 398-412, 2014, (cited By 18).

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Andreu, C; Cambil, N; Cordero, A; Torregrosa, J R

A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem Journal Article

Applied Mathematics and Computation, 232 , pp. 237-246, 2014, (cited By 16).

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Soleimani, F; Soleymani, F; Cordero, A; Torregrosa, J R

On the extension of Householder's method for weighted Moore-Penrose inverse Journal Article

Applied Mathematics and Computation, 231 , pp. 407-413, 2014, (cited By 4).

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Cordero, A; Fardi, M; Ghasemi, M; Torregrosa, J R

Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior Journal Article

Calcolo, 51 (1), pp. 17-30, 2014, (cited By 14).

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Lotfi, T; Cordero, A; Torregrosa, J R; Abadi, Amir M; Zadeh, Mohammadi M

On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations Journal Article

The Scientific World Journal, 2014 , 2014, (cited By 2).

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Abad, M; Cordero, A; Torregrosa, J R

A family of seventh-order schemes for solving nonlinear systems Journal Article

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 57 (2), pp. 133-145, 2014, (cited By 16).

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Cordero, A; Feng, L; Franqués, A; Torregrosa, J R

Stability of a fourth-order family of iterative methods for solving nonlinear problems Journal Article

Civil-Comp Proceedings, 105 , 2014, (cited By 0).

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Cordero, A; Feng, L; Magreñán, A; Torregrosa, J R

A new fourth-order family for solving nonlinear problems and its dynamics Journal Article

Journal of Mathematical Chemistry, 53 (3), pp. 893-910, 2014, (cited By 18).

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Torregrosa, J R; Cordero, A; Kanwar, V; Kou, J

Iterative fixed-point methods for solving nonlinear problems: Dynamics and applications Journal Article

Abstract and Applied Analysis, 2014 , 2014, (cited By 0).

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Cordero, A; Soleymani, F; Torregrosa, J R; Shateyi, S

Basins of attraction for various steffensen-type methods Journal Article

Journal of Applied Mathematics, 2014 , 2014, (cited By 19).

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

On improved three-step schemes with high efficiency index and their dynamics Journal Article

Numerical Algorithms, 65 (1), pp. 153-169, 2014, (cited By 20).

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Torregrosa, J R; Argyros, I K; Chun, C; Cordero, A; Soleymani, F

Iterative methods for nonlinear equations or systems and their applications 2014 Journal Article

Journal of Applied Mathematics, 2014 , 2014, (cited By 1).

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

Some iterative methods for solving nonlinear matrix equations Journal Article

Civil-Comp Proceedings, 105 , 2014, (cited By 0).

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

Solving nonlinear problems by Ostrowski–Chun type parametric families Journal Article

Journal of Mathematical Chemistry, 53 (1), pp. 430-449, 2014, (cited By 18).

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

Two Optimal General Classes of Iterative Methods with Eighth-Order Journal Article

Acta Applicandae Mathematicae, 134 (1), pp. 61-74, 2014, (cited By 12).

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

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane Journal Article

Mathematics and Computers in Simulation, 105 , pp. 49-61, 2014, (cited By 27).

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

Study of a biparametric family of iterative methods Journal Article

Abstract and Applied Analysis, 2014 , 2014, (cited By 6).

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

Optimal high-order methods for solving nonlinear equations Journal Article

Journal of Applied Mathematics, 2014 , 2014, (cited By 6).

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2013

Chicharro, F I; Cordero, A; Torregrosa, J R

Drawing dynamical and parameters planes of iterative families and methods Journal Article

The Scientific World Journal, 2013 , 2013, (cited By 103).

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Andreu, C; Cambil, N; Cordero, A; Torregrosa, J R

Preliminary orbit determination of artificial satellites: A vectorial sixth-order approach Journal Article

Abstract and Applied Analysis, 2013 , 2013, (cited By 3).

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

New family of iterative methods with high order of convergence for solving nonlinear systems Journal Article

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8236 LNCS , pp. 222-230, 2013, (cited By 0).

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Torregrosa, J R; Argyros, I K; Chun, C; Cordero, A; Soleymani, F

Iterative methods for nonlinear equations or systems and their applications Journal Article

Journal of Applied Mathematics, 2013 , 2013, (cited By 6).

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

Period-doubling bifurcations in the family of Chebyshev-Halley-type methods Journal Article

International Journal of Computer Mathematics, 90 (10), pp. 2061-2071, 2013, (cited By 6).

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Artidiello, S; Chicharro, F; Cordero, A; Torregrosa, J R

Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods Journal Article

International Journal of Computer Mathematics, 90 (10), pp. 2049-2060, 2013, (cited By 13).

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

Increasing the order of convergence of iterative schemes for solving nonlinear systems Journal Article

Journal of Computational and Applied Mathematics, 252 , pp. 86-94, 2013, (cited By 29).

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

Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials Journal Article

Abstract and Applied Analysis, 2013 , 2013, (cited By 5).

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Abad, M F; Cordero, A; Torregrosa, J R

Fourth- and fifth-order methods for solving nonlinear systems of equations: An application to the global positioning system Journal Article

Abstract and Applied Analysis, 2013 , 2013, (cited By 15).

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

Dynamics of a family of Chebyshev-Halley type methods Journal Article

Applied Mathematics and Computation, 219 (16), pp. 8568-8583, 2013, (cited By 67).

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Chicharro, F; Cordero, A; Torregrosa, J R

Derivative-free high-order methods applied to preliminary orbit determination Journal Article

Mathematical and Computer Modelling, 57 (7-8), pp. 1795-1799, 2013, (cited By 1).

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Chicharro, F; Cordero, A; Gutiérrez, J M; Torregrosa, J R

Complex dynamics of derivative-free methods for nonlinear equations Journal Article

Applied Mathematics and Computation, 219 (12), pp. 7023-7035, 2013, (cited By 80).

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

A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations Journal Article

Journal of Computational and Applied Mathematics, 252 , pp. 95-102, 2013, (cited By 24).

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

Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation Journal Article

Mathematical and Computer Modelling, 57 (7-8), pp. 1950-1956, 2013, (cited By 17).

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

Chaos in King's iterative family Journal Article

Applied Mathematics Letters, 26 (8), pp. 842-848, 2013, (cited By 103).

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2012

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

New predictor-corrector methods with high efficiency for solving nonlinear systems Journal Article

Journal of Applied Mathematics, 2012 , 2012, (cited By 0).

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

On a novel fourth-order algorithm for solving systems of nonlinear equations Journal Article

Journal of Applied Mathematics, 2012 , 2012, (cited By 26).

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Cordero, A; Fardi, M; Ghasemi, M; Torregrosa, J R

A family of iterative methods with accelerated eighth-order convergence Journal Article

Journal of Applied Mathematics, 2012 , 2012, (cited By 1).

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

Study of the dynamics of third-order iterative methods on quadratic polynomials Journal Article

International Journal of Computer Mathematics, 89 (13-14), pp. 1826-1836, 2012, (cited By 8).

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

Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations Journal Article

Applied Mathematics and Computation, 218 (23), pp. 11496-11504, 2012, (cited By 22).

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

Artificial satellites preliminary orbit determination by the modified high-order Gauss method Journal Article

International Journal of Computer Mathematics, 89 (3), pp. 347-356, 2012, (cited By 2).

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176 entries « 3 of 4 »

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