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2020 – today
- 2024
- [j134]Fiza Zafar, Alicia Cordero, Husna Maryam, Juan R. Torregrosa:
A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations. Algorithms 17(2): 86 (2024) - [j133]Alicia Cordero, Elaine Segura, Juan R. Torregrosa, María P. Vassileva:
Inverse matrix estimations by iterative methods with weight functions and their stability analysis. Appl. Math. Lett. 155: 109122 (2024) - [j132]Alicia Cordero, José A. Reyes, Juan R. Torregrosa, María P. Vassileva:
Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations. Axioms 13(1): 34 (2024) - [j131]Marlon Moscoso-Martínez, Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa, Gabriela Ureña-Callay:
Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results. Axioms 13(7): 458 (2024) - [j130]Alicia Cordero, Cristina Jordán, Esther Sanabria-Codesal, Juan R. Torregrosa:
Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes. J. Appl. Math. Comput. 70(5): 5023-5048 (2024) - [j129]Alicia Cordero, Miguel A. Leonardo Sepúlveda, Juan R. Torregrosa, María P. Vassileva:
Increasing in three units the order of convergence of iterative methods for solving nonlinear systems. Math. Comput. Simul. 223: 509-522 (2024) - [j128]Alicia Cordero, Renso V. Rojas-Hiciano, Juan R. Torregrosa, María P. Vassileva:
A highly efficient class of optimal fourth-order methods for solving nonlinear systems. Numer. Algorithms 95(4): 1879-1904 (2024) - 2023
- [j127]Vinay Kanwar, Alicia Cordero, Juan R. Torregrosa, Mithil Rajput, Ramandeep Behl:
A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve. Algorithms 16(3): 156 (2023) - [j126]Alicia Cordero, Javier García-Maimó, Antmel Rodríguez-Cabral, Juan R. Torregrosa:
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems. Algorithms 16(3): 163 (2023) - [j125]Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero-Navarro:
An iterative scheme to obtain multiple solutions simultaneously. Appl. Math. Lett. 145: 108738 (2023) - [j124]Giro Candelario, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Generalized conformable fractional Newton-type method for solving nonlinear systems. Numer. Algorithms 93(3): 1171-1208 (2023) - [j123]Wei-Shih Du, Alicia Cordero, Huaping Huang, Juan R. Torregrosa:
Editorial Conclusion for the Special Issue "Fixed Point Theory and Computational Analysis with Applications". Symmetry 15(6): 1130 (2023) - [j122]Baboucarr Ceesay, Muhammad Zafarullah Baber, Nauman Ahmed, Ali Akgül, Alicia Cordero, Juan R. Torregrosa:
Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota's Bilinear Technique. Symmetry 15(9): 1682 (2023) - [i2]Alicia Cordero, Eva G. Villalba, Juan R. Torregrosa, Paula Triguero-Navarro:
Introducing memory to a family of multi-step multidimensional iterative methods with weight function. CoRR abs/2301.07991 (2023) - 2022
- [j121]Alicia Cordero, Miguel A. Leonardo Sepúlveda, Juan R. Torregrosa:
Dynamics and Stability on a Family of Optimal Fourth-Order Iterative Methods. Algorithms 15(10): 387 (2022) - [j120]Giro Candelario, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations. Appl. Math. Lett. 124: 107650 (2022) - [j119]Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero-Navarro:
Iterative schemes for finding all roots simultaneously of nonlinear equations. Appl. Math. Lett. 134: 108325 (2022) - [j118]Ramandeep Behl, Alicia Cordero, Juan R. Torregrosa:
A new higher-order optimal derivative free scheme for multiple roots. J. Comput. Appl. Math. 404: 113773 (2022) - [j117]Francisco I. Chicharro, Alicia Cordero, Neus Garrido, Juan R. Torregrosa:
On the effect of the multidimensional weight functions on the stability of iterative processes. J. Comput. Appl. Math. 405: 113052 (2022) - [j116]Ramandeep Behl, Alicia Cordero, Juan R. Torregrosa:
High order family of multivariate iterative methods: Convergence and stability. J. Comput. Appl. Math. 405: 113053 (2022) - [j115]Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero-Navarro:
Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory. Symmetry 14(3): 442 (2022) - [j114]Alicia Cordero, Smmayya Iqbal, Juan R. Torregrosa, Fiza Zafar:
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction. Symmetry 14(8): 1742 (2022) - 2021
- [j113]Alicia Cordero, Marlon Moscoso-Martínez, Juan R. Torregrosa:
Chaos and Stability in a New Iterative Family for Solving Nonlinear Equations. Algorithms 14(4): 101 (2021) - [j112]Alicia Cordero, Pablo Soto-Quiros, Juan R. Torregrosa:
A general class of arbitrary order iterative methods for computing generalized inverses. Appl. Math. Comput. 409: 126381 (2021) - [j111]Alicia Cordero, Javier García-Maimó, Eulalia Martínez, Juan R. Torregrosa, María P. Vassileva:
Semilocal Convergence of the Extension of Chun's Method. Axioms 10(3): 161 (2021) - [j110]Munish Kansal, Alicia Cordero, Sonia Bhalla, Juan R. Torregrosa:
New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. Numer. Algorithms 87(3): 1017-1060 (2021) - [j109]Alicia Cordero, Juan R. Torregrosa, Paula Triguero-Navarro:
A General Optimal Iterative Scheme with Arbitrary Order of Convergence. Symmetry 13(5): 884 (2021) - 2020
- [j108]Francisco I. Chicharro, Alicia Cordero, Neus Garrido, Juan R. Torregrosa:
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory. Appl. Math. Lett. 104: 106277 (2020) - [j107]Francisco I. Chicharro, Alicia Cordero, Neus Garrido, Juan R. Torregrosa:
Anomalies in the convergence of Traub-type methods with memory. Comput. Math. Methods 2(1) (2020)
2010 – 2019
- 2019
- [j106]Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi, Juan R. Torregrosa:
Stability Analysis of Jacobian-Free Newton's Iterative Method. Algorithms 12(11): 236 (2019) - [j105]Ashu Bahl, Alicia Cordero, Rajni Sharma, Juan R. Torregrosa:
A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. Appl. Math. Comput. 357: 147-166 (2019) - [j104]Ali Akgül, Alicia Cordero, Juan R. Torregrosa:
A fractional Newton method with 2αth-order of convergence and its stability. Appl. Math. Lett. 98: 344-351 (2019) - [j103]Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, María P. Vassileva:
Stability Anomalies of Some Jacobian-Free Iterative Methods of High Order of Convergence. Axioms 8(2): 51 (2019) - [j102]Francisco I. Chicharro, Alicia Cordero, Neus Garrido, Juan R. Torregrosa:
Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability. Axioms 8(2): 55 (2019) - [j101]Francisco I. Chicharro, Alicia Cordero, Neus Garrido, Juan R. Torregrosa:
Wide stability in a new family of optimal fourth-order iterative methods. Comput. Math. Methods 1(2) (2019) - [j100]Fiza Zafar, Alicia Cordero, Juan R. Torregrosa, Aneeqa Rafi:
A class of four parametric with- and without-memory root finding methods. Comput. Math. Methods 1(3) (2019) - [j99]Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi, Juan R. Torregrosa:
A fast algorithm to solve systems of nonlinear equations. J. Comput. Appl. Math. 354: 242-258 (2019) - [j98]Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa:
Dynamics of iterative families with memory based on weight functions procedure. J. Comput. Appl. Math. 354: 286-298 (2019) - [j97]Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Dynamical Analysis to Explain the numerical Anomalies in the family of Ermakov-Kalitlin Type Methods. Math. Model. Anal. 24(3): 335-350 (2019) - [j96]Fiza Zafar, Alicia Cordero, Juan R. Torregrosa:
Stability analysis of a family of optimal fourth-order methods for multiple roots. Numer. Algorithms 81(3): 947-981 (2019) - [j95]Alicia Cordero, Lucia Guasp, Juan R. Torregrosa:
Fixed Point Root-Finding Methods of Fourth-Order of Convergence. Symmetry 11(6): 769 (2019) - [j94]Alicia Cordero, Ivan Girona, Juan R. Torregrosa:
A Variant of Chebyshev's Method with 3αth-Order of Convergence by Using Fractional Derivatives. Symmetry 11(8): 1017 (2019) - [j93]Alicia Cordero, Jonathan Franceschi, Juan R. Torregrosa, Anna C. Zagati:
A Convex Combination Approach for Mean-Based Variants of Newton's Method. Symmetry 11(9): 1106 (2019) - [i1]Giro Candelario, Alicia Cordero, Juan R. Torregrosa:
A fractional Traub method with (2α+1)th-order of convergence and its stability. CoRR abs/1909.09076 (2019) - 2018
- [j92]Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi, Juan R. Torregrosa:
Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems. Appl. Math. Comput. 323: 43-57 (2018) - [j91]J. Enrique Vázquez-Lozano, Alicia Cordero, Juan R. Torregrosa:
Dynamical analysis on cubic polynomials of Damped Traub's method for approximating multiple roots. Appl. Math. Comput. 328: 82-99 (2018) - [j90]Neha Choubey, Alicia Cordero, Jai Prakash Jaiswal, Juan R. Torregrosa:
Dynamical Techniques for Analyzing Iterative Schemes with Memory. Complex. 2018: 1232341:1-1232341:13 (2018) - [j89]Neha Choubey, Alicia Cordero, Jai Prakash Jaiswal, Juan R. Torregrosa:
Corrigendum to "Dynamical Techniques for Analyzing Iterative Schemes with Memory". Complex. 2018: 2950356:1 (2018) - [j88]Alicia Cordero, Cristina Jordán, Esther Sanabria-Codesal, Juan R. Torregrosa:
Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence p+3, p≥5. J. Comput. Appl. Math. 330: 748-758 (2018) - [j87]Alicia Cordero, Lucia Guasp, Juan R. Torregrosa:
Choosing the most stable members of Kou's family of iterative methods. J. Comput. Appl. Math. 330: 759-769 (2018) - [j86]Abdolreza Amiri, Alicia Cordero, Mohammad Taghi Darvishi, Juan R. Torregrosa:
Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems. J. Comput. Appl. Math. 337: 87-97 (2018) - [j85]Fiza Zafar, Alicia Cordero, Sana Sultana, Juan R. Torregrosa:
Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics. J. Comput. Appl. Math. 342: 352-374 (2018) - [j84]Ramandeep Behl, Alicia Cordero, Sandile Sydney Motsa, Juan R. Torregrosa:
An eighth-order family of optimal multiple root finders and its dynamics. Numer. Algorithms 77(4): 1249-1272 (2018) - [c6]Alicia Cordero, Ivan Giménez, Juan R. Torregrosa:
Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations. FDM 2018: 185-192 - [c5]Alicia Cordero, Lucia Guasp, Juan R. Torregrosa:
Stability of a Family of Iterative Methods of Fourth-Order. FDM 2018: 193-200 - [c4]Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, María P. Vassileva:
Multidimensional Real Dynamics for High-Order Processes. FDM 2018: 201-207 - [c3]Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, María P. Vassileva:
Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method. FDM 2018: 208-215 - [c2]Fiza Zafar, Alicia Cordero, Juan R. Torregrosa:
A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function. FDM 2018: 663-669 - 2017
- [j83]Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Design and multidimensional extension of iterative methods for solving nonlinear problems. Appl. Math. Comput. 293: 194-203 (2017) - [j82]Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa, F. Khaksar Haghani:
A family of Kurchatov-type methods and its stability. Appl. Math. Comput. 294: 264-279 (2017) - [j81]Ramandeep Behl, Alicia Cordero, Sandile Sydney Motsa, Juan R. Torregrosa:
Stable high-order iterative methods for solving nonlinear models. Appl. Math. Comput. 303: 70-88 (2017) - [j80]Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
King-Type Derivative-Free Iterative Families: Real and Memory Dynamics. Complex. 2017: 2713145:1-2713145:15 (2017) - [j79]Alicia Cordero, Esther Gómez, Juan R. Torregrosa:
Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems. Complex. 2017: 6457532:1-6457532:11 (2017) - [j78]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
Third-degree anomalies of Traub's method. J. Comput. Appl. Math. 309: 511-521 (2017) - [j77]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a higher order family of methods and its dynamics. J. Comput. Appl. Math. 309: 542-562 (2017) - [j76]Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, María P. Vassileva:
Stability of a fourth order bi-parametric family of iterative methods. J. Comput. Appl. Math. 312: 94-102 (2017) - [j75]Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa, Malik Zaka Ullah:
Numerically stable improved Chebyshev-Halley type schemes for matrix sign function. J. Comput. Appl. Math. 318: 189-198 (2017) - [j74]Alicia Cordero, Cristina Jordán, Juan R. Torregrosa:
A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory? J. Comput. Appl. Math. 318: 335-347 (2017) - [j73]Beatriz Campos, Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Stability of King's family of iterative methods with memory. J. Comput. Appl. Math. 318: 504-514 (2017) - [j72]Alicia Cordero, Juan R. Torregrosa:
A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix. J. Comput. Appl. Math. 318: 591-598 (2017) - 2016
- [j71]Beatriz Campos, Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Dynamics of a multipoint variant of Chebyshev-Halley's family. Appl. Math. Comput. 284: 195-208 (2016) - [j70]Alicia Cordero, José Manuel Gutiérrez Jiménez, Ángel Alberto Magreñán, Juan R. Torregrosa:
Stability analysis of a parametric family of iterative methods for solving nonlinear models. Appl. Math. Comput. 285: 26-40 (2016) - [j69]Saeid Abbasbandy, Parisa Bakhtiari, Alicia Cordero, Juan R. Torregrosa, Taher Lotfi:
New efficient methods for solving nonlinear systems of equations with arbitrary even order. Appl. Math. Comput. 287-288: 94-103 (2016) - [j68]Alicia Cordero, Ángel Alberto Magreñán, Carlos Quemada, Juan R. Torregrosa:
Stability study of eighth-order iterative methods for solving nonlinear equations. J. Comput. Appl. Math. 291: 348-357 (2016) - [j67]D. K. R. Babajee, Alicia Cordero, Juan R. Torregrosa:
Study of iterative methods through the Cayley Quadratic Test. J. Comput. Appl. Math. 291: 358-369 (2016) - [j66]Alicia Cordero, Alfredo Ferrero, Juan R. Torregrosa:
Damped Traub's method: Convergence and stability. Math. Comput. Simul. 119: 57-68 (2016) - [j65]Ramandeep Behl, Alicia Cordero, Sandile Sydney Motsa, Juan R. Torregrosa, Vinay Kanwar:
An optimal fourth-order family of methods for multiple roots and its dynamics. Numer. Algorithms 71(4): 775-796 (2016) - [j64]Alicia Cordero, Munish Kansal, Vinay Kanwar, Juan R. Torregrosa:
A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Numer. Algorithms 72(4): 937-958 (2016) - [j63]Beatriz Campos, Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family. Numer. Algorithms 73(1): 141-156 (2016) - 2015
- [j62]Alicia Cordero, Antonio Franques, Juan R. Torregrosa:
Numerical Solution of Turbulence Problems by Solving Burgers' Equation. Algorithms 8(2): 224-233 (2015) - [j61]Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa:
Dynamics and Fractal Dimension of Steffensen-Type Methods. Algorithms 8(2): 271-279 (2015) - [j60]Alicia Cordero, José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Juan R. Torregrosa:
On the local convergence of a fifth-order iterative method in Banach spaces. Appl. Math. Comput. 251: 396-403 (2015) - [j59]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a Damped Secant method with modified right-hand side vector. Appl. Math. Comput. 252: 315-323 (2015) - [j58]Dzmitry A. Budzko, Alicia Cordero, Juan R. Torregrosa:
A new family of iterative methods widening areas of convergence. Appl. Math. Comput. 252: 405-417 (2015) - [j57]Alicia Cordero, Taher Lotfi, Katayoun Mahdiani, Juan R. Torregrosa:
A stable family with high order of convergence for solving nonlinear equations. Appl. Math. Comput. 254: 240-251 (2015) - [j56]Ramandeep Behl, Alicia Cordero, Sandile Sydney Motsa, Juan R. Torregrosa:
On developing fourth-order optimal families of methods for multiple roots and their dynamics. Appl. Math. Comput. 265: 520-532 (2015) - [j55]Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan R. Torregrosa:
On the convergence of a damped Newton-like method with modified right hand side vector. Appl. Math. Comput. 266: 927-936 (2015) - [j54]Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure. Appl. Math. Comput. 268: 1064-1071 (2015) - [j53]Ramandeep Behl, Alicia Cordero, Sandile Sydney Motsa, Juan R. Torregrosa:
Construction of fourth-order optimal families of iterative methods and their dynamics. Appl. Math. Comput. 271: 89-101 (2015) - [j52]Beatriz Campos, Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
A multidimensional dynamical approach to iterative methods with memory. Appl. Math. Comput. 271: 701-715 (2015) - [j51]Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Two weighted eight-order classes of iterative root-finding methods. Int. J. Comput. Math. 92(9): 1790-1805 (2015) - [j50]Beatriz Campos, Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Dynamics of the family of c-iterative methods. Int. J. Comput. Math. 92(9): 1815-1825 (2015) - [j49]Taher Lotfi, Parisa Bakhtiari, Alicia Cordero, Katayoun Mahdiani, Juan R. Torregrosa:
Some new efficient multipoint iterative methods for solving nonlinear systems of equations. Int. J. Comput. Math. 92(9): 1921-1934 (2015) - [j48]Alicia Cordero, Cristina Jordán, Esther Sanabria-Codesal, Juan R. Torregrosa:
Towards a Better Learning Models Through OCWs and MOOCs. Int. J. Interact. Multim. Artif. Intell. 3(4): 26-30 (2015) - [j47]Alicia Cordero, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, Juan R. Torregrosa:
Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces. J. Comput. Appl. Math. 273: 205-213 (2015) - [j46]Jesús Vigo-Aguiar, Alicia Cordero, Higinio Ramos:
Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE). J. Comput. Appl. Math. 275: 213-215 (2015) - [j45]Alicia Cordero, Cristina Jordán, Juan R. Torregrosa:
One-point Newton-type iterative methods: A unified point of view. J. Comput. Appl. Math. 275: 366-374 (2015) - [j44]Alicia Cordero, Juan R. Torregrosa:
Low-complexity root-finding iteration functions with no derivatives of any order of convergence. J. Comput. Appl. Math. 275: 502-515 (2015) - [j43]Alicia Cordero, Taher Lotfi, Parisa Bakhtiari, Juan R. Torregrosa:
An efficient two-parametric family with memory for nonlinear equations. Numer. Algorithms 68(2): 323-335 (2015) - 2014
- [j42]Farahnaz Soleimani, Fazlollah Soleymani, Alicia Cordero, Juan R. Torregrosa:
On the extension of Householder's method for weighted Moore-Penrose inverse. Appl. Math. Comput. 231: 407-413 (2014) - [j41]Carlos Andreu, Noelia Cambil, Alicia Cordero, Juan R. Torregrosa:
A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem. Appl. Math. Comput. 232: 237-246 (2014) - [j40]Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa:
Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? Appl. Math. Comput. 244: 398-412 (2014) - [j39]Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani:
Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014. J. Appl. Math. 2014: 293263:1-293263:2 (2014) - [j38]Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa, Stanford Shateyi:
Basins of Attraction for Various Steffensen-Type Methods. J. Appl. Math. 2014: 539707:1-539707:17 (2014) - [j37]Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Optimal High-Order Methods for Solving Nonlinear Equations. J. Appl. Math. 2014: 591638:1-591638:9 (2014) - [j36]Ángel Alberto Magreñán, Alicia Cordero, José Manuel Gutiérrez Jiménez, Juan R. Torregrosa:
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane. Math. Comput. Simul. 105: 49-61 (2014) - [j35]D. K. R. Babajee, Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa:
On improved three-step schemes with high efficiency index and their dynamics. Numer. Algorithms 65(1): 153-169 (2014) - 2013
- [j34]Francisco Chicharro, Alicia Cordero, José Manuel Gutiérrez Jiménez, Juan R. Torregrosa:
Complex dynamics of derivative-free methods for nonlinear equations. Appl. Math. Comput. 219(12): 7023-7035 (2013) - [j33]Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Dynamics of a family of Chebyshev-Halley type methods. Appl. Math. Comput. 219(16): 8568-8583 (2013) - [j32]Alicia Cordero, Javier García-Maimó, Juan R. Torregrosa, María P. Vassileva, Pura Vindel:
Chaos in King's iterative family. Appl. Math. Lett. 26(8): 842-848 (2013) - [j31]Santiago Artidiello, Francisco Chicharro, Alicia Cordero, Juan R. Torregrosa:
Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods. Int. J. Comput. Math. 90(10): 2049-2060 (2013) - [j30]Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Period-doubling bifurcations in the family of Chebyshev-Halley-type methods. Int. J. Comput. Math. 90(10): 2061-2071 (2013) - [j29]Juan R. Torregrosa, Ioannis K. Argyros, Changbum Chun, Alicia Cordero, Fazlollah Soleymani:
Iterative Methods for Nonlinear Equations or Systems and Their Applications. J. Appl. Math. 2013: 656953:1-656953:2 (2013) - [j28]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Increasing the order of convergence of iterative schemes for solving nonlinear systems. J. Comput. Appl. Math. 252: 86-94 (2013) - [j27]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations. J. Comput. Appl. Math. 252: 95-102 (2013) - [j26]Francisco Chicharro, Alicia Cordero, Juan R. Torregrosa:
Derivative-free high-order methods applied to preliminary orbit determination. Math. Comput. Model. 57(7-8): 1795-1799 (2013) - [j25]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation. Math. Comput. Model. 57(7-8): 1950-1956 (2013) - 2012
- [j24]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations. Appl. Math. Comput. 218(23): 11496-11504 (2012) - [j23]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Increasing the convergence order of an iterative method for nonlinear systems. Appl. Math. Lett. 25(12): 2369-2374 (2012) - [j22]Víctor Arroyo, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Artificial satellites preliminary orbit determination by the modified high-order Gauss method. Int. J. Comput. Math. 89(3): 347-356 (2012) - [j21]Alicia Cordero, Juan R. Torregrosa, Pura Vindel:
Study of the dynamics of third-order iterative methods on quadratic polynomials. Int. J. Comput. Math. 89(13-14): 1826-1836 (2012) - [j20]Diyashvir Kreetee Rajiv Babajee, Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa:
On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations. J. Appl. Math. 2012: 165452:1-165452:12 (2012) - [j19]Alicia Cordero, Mojtaba Fardi, Mehdi Ghasemi, Juan R. Torregrosa:
A Family of Iterative Methods with Accelerated Eighth-Order Convergence. J. Appl. Math. 2012: 282561:1-282561:9 (2012) - [j18]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems. J. Appl. Math. 2012: 709843:1-709843:15 (2012) - [j17]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Steffensen type methods for solving nonlinear equations. J. Comput. Appl. Math. 236(12): 3058-3064 (2012) - [c1]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems. NAA 2012: 222-230 - 2011
- [j16]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Efficient high-order methods based on golden ratio for nonlinear systems. Appl. Math. Comput. 217(9): 4548-4556 (2011) - [j15]Alicia Cordero, Juan R. Torregrosa:
A class of Steffensen type methods with optimal order of convergence. Appl. Math. Comput. 217(19): 7653-7659 (2011) - [j14]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
A family of modified Ostrowski's methods with optimal eighth order of convergence. Appl. Math. Lett. 24(12): 2082-2086 (2011) - [j13]Alicia Cordero, Juan R. Torregrosa, María P. Vassileva:
Three-step iterative methods with optimal eighth-order convergence. J. Comput. Appl. Math. 235(10): 3189-3194 (2011) - [j12]Víctor Arroyo, Alicia Cordero, Juan R. Torregrosa:
Approximation of artificial satellites' preliminary orbits: The efficiency challenge. Math. Comput. Model. 54(7-8): 1802-1807 (2011) - 2010
- [j11]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Accelerated methods of order 2p for systems of nonlinear equations. J. Comput. Appl. Math. 233(10): 2696-2702 (2010) - [j10]Alicia Cordero, Juan R. Torregrosa:
On interpolation variants of Newton's method for functions of several variables. J. Comput. Appl. Math. 234(1): 34-43 (2010) - [j9]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence. J. Comput. Appl. Math. 234(10): 2969-2976 (2010) - [j8]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Iterative methods for use with nonlinear discrete algebraic models. Math. Comput. Model. 52(7-8): 1251-1257 (2010) - [j7]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
A family of iterative methods with sixth and seventh order convergence for nonlinear equations. Math. Comput. Model. 52(9-10): 1490-1496 (2010) - [j6]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
Efficient three-step iterative methods with sixth order convergence for nonlinear equations. Numer. Algorithms 53(4): 485-495 (2010) - [j5]Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa:
A modified Newton-Jarratt's composition. Numer. Algorithms 55(1): 87-99 (2010)
2000 – 2009
- 2009
- [j4]Alicia Cordero, Eulalia Martínez, Juan R. Torregrosa:
Iterative methods of order four and five for systems of nonlinear equations. J. Comput. Appl. Math. 231(2): 541-551 (2009) - 2008
- [j3]Alicia Cordero, Juan R. Torregrosa:
A class of multi-point iterative methods for nonlinear equations. Appl. Math. Comput. 197(1): 337-344 (2008) - 2007
- [j2]Alicia Cordero, Juan R. Torregrosa:
Variants of Newton's Method using fifth-order quadrature formulas. Appl. Math. Comput. 190(1): 686-698 (2007) - 2006
- [j1]Alicia Cordero, Juan R. Torregrosa:
Variants of Newton's method for functions of several variables. Appl. Math. Comput. 183(1): 199-208 (2006)
Coauthor Index
aka: Francisco I. Chicharro
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