2018
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Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon Dynamics of iterative families with memory based on weight functions procedure Artículo de revista Journal of Computational and Applied Mathematics, 2018, ISSN: 0377-0427. Resumen | 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 Artículo de revista Journal of Computational and Applied Mathematics, 330 , pp. 748-758, 2018, (cited By 1). Enlaces | 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}
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|
Cordero, A; Guasp, L; Torregrosa, J R Choosing the most stable members of Kou's family of iterative methods Artículo de revista Journal of Computational and Applied Mathematics, 330 , pp. 759-769, 2018, (cited By 1). Enlaces | 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}
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|
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 Artículo de revista Complexity, 2017 (2713145), pp. 1-15, 2017, ISSN: 1076-2787. Resumen | Enlaces | 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.},
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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. |
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 Artículo de revista Nonlinear Dynamics, pp. 1-32, 2017, (cited By 0; Article in Press). Enlaces | BibTeX @article{Behl20171,
title = {Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85031925160&doi=10.1007%2fs11071-017-3858-6&partnerID=40&md5=249abdea48348781c563902fddabe21c},
doi = {10.1007/s11071-017-3858-6},
year = {2017},
date = {2017-01-01},
journal = {Nonlinear Dynamics},
pages = {1-32},
note = {cited By 0; Article in Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Cordero, A; Guasp, L; Torregrosa, J R CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior Artículo de revista Journal of Mathematical Chemistry, pp. 1-22, 2017, (cited By 0; Article in Press). Enlaces | BibTeX @article{Cordero20171,
title = {CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior},
author = {A Cordero and L Guasp and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030166717&doi=10.1007%2fs10910-017-0814-0&partnerID=40&md5=26dba9bb1f37587f39371c1b4bbfc1bf},
doi = {10.1007/s10910-017-0814-0},
year = {2017},
date = {2017-01-01},
journal = {Journal of Mathematical Chemistry},
pages = {1-22},
note = {cited By 0; Article in Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Cordero, A; Torregrosa, J R A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix Artículo de revista Journal of Computational and Applied Mathematics, 318 , pp. 591-598, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017591,
title = {A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix},
author = {A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84950341626&doi=10.1016%2fj.cam.2015.12.006&partnerID=40&md5=4473bf94449add2d5b0ace98e55cb5bd},
doi = {10.1016/j.cam.2015.12.006},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {318},
pages = {591-598},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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 Artículo de revista Journal of Computational and Applied Mathematics, 318 , pp. 189-198, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017189,
title = {Numerically stable improved Chebyshev–Halley type schemes for matrix sign function},
author = {A Cordero and F Soleymani and J R Torregrosa and M Z Ullah},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006910343&doi=10.1016%2fj.cam.2016.10.025&partnerID=40&md5=97230772d8884d7f82927d37a82a33e1},
doi = {10.1016/j.cam.2016.10.025},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {318},
pages = {189-198},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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? Artículo de revista Journal of Computational and Applied Mathematics, 318 , pp. 335-347, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017335,
title = {A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?},
author = {A Cordero and C Jordán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994543853&doi=10.1016%2fj.cam.2016.08.049&partnerID=40&md5=041e57b6b34ccde7c32b92e9b9e31484},
doi = {10.1016/j.cam.2016.08.049},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {318},
pages = {335-347},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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|
Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R An eighth-order family of optimal multiple root finders and its dynamics Artículo de revista Numerical Algorithms, pp. 1-24, 2017, (cited By 0; Article in Press). Enlaces | BibTeX @article{Behl20171b,
title = {An eighth-order family of optimal multiple root finders and its dynamics},
author = {R Behl and A Cordero and S S. Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021204995&doi=10.1007%2fs11075-017-0361-6&partnerID=40&md5=c0e9550ab14cc6fcc5970328a994de8b},
doi = {10.1007/s11075-017-0361-6},
year = {2017},
date = {2017-01-01},
journal = {Numerical Algorithms},
pages = {1-24},
note = {cited By 0; Article in Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R Stable high-order iterative methods for solving nonlinear models Artículo de revista Applied Mathematics and Computation, 303 , pp. 70-88, 2017, (cited By 0). Enlaces | BibTeX @article{Behl201770,
title = {Stable high-order iterative methods for solving nonlinear models},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010422719&doi=10.1016%2fj.amc.2017.01.029&partnerID=40&md5=58013d3b0cfc0476cebfc72f2ae800cc},
doi = {10.1016/j.amc.2017.01.029},
year = {2017},
date = {2017-01-01},
journal = {Applied Mathematics and Computation},
volume = {303},
pages = {70-88},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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 Artículo de revista Journal of Computational and Applied Mathematics, 312 , pp. 94-102, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero201794,
title = {Stability of a fourth order bi-parametric family of iterative methods},
author = {A Cordero and J G Maimó and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84957928133&doi=10.1016%2fj.cam.2016.01.013&partnerID=40&md5=ad922ce355a59ac22e4fbefa2f823ead},
doi = {10.1016/j.cam.2016.01.013},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {312},
pages = {94-102},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Cordero, A; Soleymani, F; Torregrosa, J R; Haghani, F K A family of Kurchatov-type methods and its stability Artículo de revista Applied Mathematics and Computation, 294 , pp. 264-279, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017264,
title = {A family of Kurchatov-type methods and its stability},
author = {A Cordero and F Soleymani and J R Torregrosa and F K Haghani},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84989170559&doi=10.1016%2fj.amc.2016.09.021&partnerID=40&md5=b49d32010a61c0c6ed605d479ba860f3},
doi = {10.1016/j.amc.2016.09.021},
year = {2017},
date = {2017-01-01},
journal = {Applied Mathematics and Computation},
volume = {294},
pages = {264-279},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Cordero, A; Gómez, E; Torregrosa, J R Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems Artículo de revista Complexity, 2017 , 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017,
title = {Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems},
author = {A Cordero and E Gómez and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85029443327&doi=10.1155%2f2017%2f6457532&partnerID=40&md5=8f0dfac6e9e11ec332f669432e7f2b54},
doi = {10.1155/2017/6457532},
year = {2017},
date = {2017-01-01},
journal = {Complexity},
volume = {2017},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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 Artículo de revista Journal of Computational and Applied Mathematics, 309 , pp. 542-562, 2017, (cited By 2). Enlaces | BibTeX @article{Argyros2017542,
title = {On the convergence of a higher order family of methods and its dynamics},
author = {I K Argyros and A Cordero and Á A Magreñán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969594468&doi=10.1016%2fj.cam.2016.04.022&partnerID=40&md5=53b316d074ecaa820329153c0b5715a3},
doi = {10.1016/j.cam.2016.04.022},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {309},
pages = {542-562},
note = {cited By 2},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations Artículo de revista Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 60 (2), pp. 127-140, 2017, (cited By 0). Enlaces | BibTeX @article{Behl2017127,
title = {A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020543533&partnerID=40&md5=4fd3229869c82eb4a77e5ebdb18b4f91},
year = {2017},
date = {2017-01-01},
journal = {Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie},
volume = {60},
number = {2},
pages = {127-140},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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|
Cordero, A; Hueso, J L; Martínez, E; Torregrosa, J R Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants Artículo de revista Discrete Dynamics in Nature and Society, 2017 , 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017b,
title = {Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants},
author = {A Cordero and J L Hueso and E Martínez and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85031935701&doi=10.1155%2f2017%2f3204652&partnerID=40&md5=c1ff4b10c000858b29ac6a64543a6cab},
doi = {10.1155/2017/3204652},
year = {2017},
date = {2017-01-01},
journal = {Discrete Dynamics in Nature and Society},
volume = {2017},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Bakhtiari, P; Cordero, A; Lotfi, T; Mahdiani, K; Torregrosa, J R Widening basins of attraction of optimal iterative methods Artículo de revista Nonlinear Dynamics, 87 (2), pp. 913-938, 2017, (cited By 0). Enlaces | BibTeX @article{Bakhtiari2017913,
title = {Widening basins of attraction of optimal iterative methods},
author = {P Bakhtiari and A Cordero and T Lotfi and K Mahdiani and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988736297&doi=10.1007%2fs11071-016-3089-2&partnerID=40&md5=4cf1e63ac23ab3fb1db4eadff6a3e314},
doi = {10.1007/s11071-016-3089-2},
year = {2017},
date = {2017-01-01},
journal = {Nonlinear Dynamics},
volume = {87},
number = {2},
pages = {913-938},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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? Artículo de revista Journal of Computational and Applied Mathematics, 318 , pp. 335-347, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero2017335b,
title = {A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?},
author = {A Cordero and C Jordán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994543853&doi=10.1016%2fj.cam.2016.08.049&partnerID=40&md5=041e57b6b34ccde7c32b92e9b9e31484},
doi = {10.1016/j.cam.2016.08.049},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {318},
pages = {335-347},
note = {cited By 0},
keywords = {},
pubstate = {published},
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Campos, B; Cordero, A; Torregrosa, J R; Vindel, P Stability of King's family of iterative methods with memory Artículo de revista Journal of Computational and Applied Mathematics, 318 , pp. 504-514, 2017, (cited By 0). Enlaces | BibTeX @article{Campos2017504b,
title = {Stability of King's family of iterative methods with memory},
author = {B Campos and A Cordero and J R Torregrosa and P Vindel},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84958580775&doi=10.1016%2fj.cam.2016.01.035&partnerID=40&md5=ff641973e143fee874f33ee84283d1f9},
doi = {10.1016/j.cam.2016.01.035},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {318},
pages = {504-514},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Cordero, A; Torregrosa, J R; Vassileva, M P A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016 Artículo de revista Journal of Mathematical Chemistry, 55 (7), pp. 1443-1460, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero20171443b,
title = {A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016},
author = {A Cordero and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008177627&doi=10.1007%2fs10910-016-0723-7&partnerID=40&md5=f46730024801e84ab77d6a9796efd6e5},
doi = {10.1007/s10910-016-0723-7},
year = {2017},
date = {2017-01-01},
journal = {Journal of Mathematical Chemistry},
volume = {55},
number = {7},
pages = {1443-1460},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
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Cordero, A; Maimó, J G; Torregrosa, J R; Vassileva, M P Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016 Artículo de revista Journal of Mathematical Chemistry, 55 (7), pp. 1461-1480, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero20171461b,
title = {Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016},
author = {A Cordero and J G Maimó and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008225248&doi=10.1007%2fs10910-016-0724-6&partnerID=40&md5=94177ca669dfc13cc61da7f62ba09c06},
doi = {10.1007/s10910-016-0724-6},
year = {2017},
date = {2017-01-01},
journal = {Journal of Mathematical Chemistry},
volume = {55},
number = {7},
pages = {1461-1480},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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 Artículo de revista Journal of Computational and Applied Mathematics, 312 , pp. 94-102, 2017, (cited By 0). Enlaces | BibTeX @article{Cordero201794b,
title = {Stability of a fourth order bi-parametric family of iterative methods},
author = {A Cordero and J G Maimó and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84957928133&doi=10.1016%2fj.cam.2016.01.013&partnerID=40&md5=ad922ce355a59ac22e4fbefa2f823ead},
doi = {10.1016/j.cam.2016.01.013},
year = {2017},
date = {2017-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {312},
pages = {94-102},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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Artidiello, S; Cordero, A; Torregrosa, J R; Vassileva, M P Design and multidimensional extension of iterative methods for solving nonlinear problems Artículo de revista Applied Mathematics and Computation, 293 , pp. 194-203, 2017, (cited By 0). Enlaces | BibTeX @article{Artidiello2017194b,
title = {Design and multidimensional extension of iterative methods for solving nonlinear problems},
author = {S Artidiello and A Cordero and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984645344&doi=10.1016%2fj.amc.2016.08.034&partnerID=40&md5=2cb3f6044c651bd6a5d56c484cf4aa86},
doi = {10.1016/j.amc.2016.08.034},
year = {2017},
date = {2017-01-01},
journal = {Applied Mathematics and Computation},
volume = {293},
pages = {194-203},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
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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 Artículo de revista Journal of Mathematical Chemistry, pp. 1-18, 2017, (Article in Press). Enlaces | BibTeX @article{Zafar20171,
title = {Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters},
author = {Fiza Zafar and Alicia Cordero and R Quratulain and Juan Ramon Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85030559715&doi=10.1007%2fs10910-017-0813-1&partnerID=40&md5=0d51b945bc56189b6ace0707839891df},
doi = {10.1007/s10910-017-0813-1},
year = {2017},
date = {2017-01-01},
journal = {Journal of Mathematical Chemistry},
pages = {1-18},
note = {Article in Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Applied Mathematics and Computation, 287-288 , pp. 94-103, 2016, (cited By 0). Enlaces | BibTeX @article{Abbasbandy201694,
title = {New efficient methods for solving nonlinear systems of equations with arbitrary even order},
author = {S Abbasbandy and P Bakhtiari and A Cordero and J R Torregrosa and T Lotfi},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84966693646&doi=10.1016%2fj.amc.2016.04.038&partnerID=40&md5=9d231f885b85f76f9e5b4f473e1447aa},
doi = {10.1016/j.amc.2016.04.038},
year = {2016},
date = {2016-01-01},
journal = {Applied Mathematics and Computation},
volume = {287-288},
pages = {94-103},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Numerical Algorithms, 72 (4), pp. 937-958, 2016, (cited By 1). Enlaces | BibTeX @article{Cordero2016937,
title = {A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence},
author = {A Cordero and M Kansal and V Kanwar and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84947753299&doi=10.1007%2fs11075-015-0075-6&partnerID=40&md5=dfdbdc18e080a654f339898b72a53029},
doi = {10.1007/s11075-015-0075-6},
year = {2016},
date = {2016-01-01},
journal = {Numerical Algorithms},
volume = {72},
number = {4},
pages = {937-958},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Franques, A; Torregrosa, J R Chaos and convergence of a family generalizing Homeier’s method with damping parameters Artículo de revista Nonlinear Dynamics, 85 (3), pp. 1939-1954, 2016, (cited By 0). Enlaces | BibTeX @article{Cordero20161939,
title = {Chaos and convergence of a family generalizing Homeier’s method with damping parameters},
author = {A Cordero and A Franques and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964573777&doi=10.1007%2fs11071-016-2807-0&partnerID=40&md5=7a86a9ef309353b05acd89ac58f67588},
doi = {10.1007/s11071-016-2807-0},
year = {2016},
date = {2016-01-01},
journal = {Nonlinear Dynamics},
volume = {85},
number = {3},
pages = {1939-1954},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Gutiérrez, J M; Magreñán, Á A; Torregrosa, J R Stability analysis of a parametric family of iterative methods for solving nonlinear models Artículo de revista Applied Mathematics and Computation, 285 , pp. 26-40, 2016, (cited By 1). Enlaces | BibTeX @article{Cordero201626,
title = {Stability analysis of a parametric family of iterative methods for solving nonlinear models},
author = {A Cordero and J M Gutiérrez and Á A Magreñán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962858062&doi=10.1016%2fj.amc.2016.03.021&partnerID=40&md5=f30f91f94bdbbf87a2728d20f2803ba7},
doi = {10.1016/j.amc.2016.03.021},
year = {2016},
date = {2016-01-01},
journal = {Applied Mathematics and Computation},
volume = {285},
pages = {26-40},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Numerical Algorithms, 71 (4), pp. 775-796, 2016, (cited By 0). Enlaces | BibTeX @article{Behl2016775,
title = {An optimal fourth-order family of methods for multiple roots and its dynamics},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa and V Kanwar},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84937878820&doi=10.1007%2fs11075-015-0023-5&partnerID=40&md5=29835a1a298f8d6d98fb239afcfef848},
doi = {10.1007/s11075-015-0023-5},
year = {2016},
date = {2016-01-01},
journal = {Numerical Algorithms},
volume = {71},
number = {4},
pages = {775-796},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Lotfi, T; Torregrosa, J R; Assari, P; Mahdiani, K Some new bi-accelerator two-point methods for solving nonlinear equations Artículo de revista Computational and Applied Mathematics, 35 (1), pp. 251-267, 2016, (cited By 1). Enlaces | BibTeX @article{Cordero2016251,
title = {Some new bi-accelerator two-point methods for solving nonlinear equations},
author = {A Cordero and T Lotfi and J R Torregrosa and P Assari and K Mahdiani},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964258879&doi=10.1007%2fs40314-014-0192-1&partnerID=40&md5=ef4bf5edf97f3e3a258e471cf3e5b582},
doi = {10.1007/s40314-014-0192-1},
year = {2016},
date = {2016-01-01},
journal = {Computational and Applied Mathematics},
volume = {35},
number = {1},
pages = {251-267},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Torregrosa, J R On the design of optimal iterative methods for solving nonlinear equations Artículo de revista SEMA SIMAI Springer Series, 10 , pp. 79-111, 2016, (cited By 1). Enlaces | BibTeX @article{Cordero201679,
title = {On the design of optimal iterative methods for solving nonlinear equations},
author = {A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026885189&doi=10.1007%2f978-3-319-39228-8_5&partnerID=40&md5=c967e07e679ab3a1eedc2f1f2549e8b3},
doi = {10.1007/978-3-319-39228-8_5},
year = {2016},
date = {2016-01-01},
journal = {SEMA SIMAI Springer Series},
volume = {10},
pages = {79-111},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Ferrero, A; Torregrosa, J R Damped Traub's method: Convergence and stability Artículo de revista Mathematics and Computers in Simulation, 119 , pp. 57-68, 2016, (cited By 0). Enlaces | BibTeX @article{Cordero201657,
title = {Damped Traub's method: Convergence and stability},
author = {A Cordero and A Ferrero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945480674&doi=10.1016%2fj.matcom.2015.08.012&partnerID=40&md5=ce0b060837f972c6adf6f425d72486ce},
doi = {10.1016/j.matcom.2015.08.012},
year = {2016},
date = {2016-01-01},
journal = {Mathematics and Computers in Simulation},
volume = {119},
pages = {57-68},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Magreñán, A; Quemada, C; Torregrosa, J R Stability study of eighth-order iterative methods for solving nonlinear equations Artículo de revista Journal of Computational and Applied Mathematics, 291 , pp. 348-357, 2016, (cited By 7). Enlaces | BibTeX @article{Cordero2016348,
title = {Stability study of eighth-order iterative methods for solving nonlinear equations},
author = {A Cordero and A Magreñán and C Quemada and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84939258881&doi=10.1016%2fj.cam.2015.01.006&partnerID=40&md5=932280e09291f7d5969ff4c5558f0c76},
doi = {10.1016/j.cam.2015.01.006},
year = {2016},
date = {2016-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {291},
pages = {348-357},
note = {cited By 7},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Torregrosa, J R; Neta, B; Lotfi, T Real and Complex Dynamics of Iterative Methods Artículo de revista Discrete Dynamics in Nature and Society, 2016 , 2016, (cited By 0). Enlaces | BibTeX @article{Cordero2016,
title = {Real and Complex Dynamics of Iterative Methods},
author = {A Cordero and J R Torregrosa and B Neta and T Lotfi},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962909902&doi=10.1155%2f2016%2f4765286&partnerID=40&md5=81bbc34f775a23eadaa9c3135b2e415a},
doi = {10.1155/2016/4765286},
year = {2016},
date = {2016-01-01},
journal = {Discrete Dynamics in Nature and Society},
volume = {2016},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Babajee, D K R; Cordero, A; Torregrosa, J R Study of iterative methods through the Cayley Quadratic Test Artículo de revista Journal of Computational and Applied Mathematics, 291 , pp. 358-369, 2016, (cited By 9). Enlaces | BibTeX @article{Babajee2016358,
title = {Study of iterative methods through the Cayley Quadratic Test},
author = {D K R Babajee and A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84939562080&doi=10.1016%2fj.cam.2014.09.020&partnerID=40&md5=0c1a131c68d606ffc84acce6b9493c0c},
doi = {10.1016/j.cam.2014.09.020},
year = {2016},
date = {2016-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {291},
pages = {358-369},
note = {cited By 9},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Campos, B; Cordero, A; Torregrosa, J R; Vindel, P Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family Artículo de revista Numerical Algorithms, 73 (1), pp. 141-156, 2016, (cited By 0). Enlaces | BibTeX @article{Campos2016141b,
title = {Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family},
author = {B Campos and A Cordero and J R Torregrosa and P Vindel},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951748426&doi=10.1007%2fs11075-015-0089-0&partnerID=40&md5=15084de1f8cff196f46b1321c57eb483},
doi = {10.1007/s11075-015-0089-0},
year = {2016},
date = {2016-01-01},
journal = {Numerical Algorithms},
volume = {73},
number = {1},
pages = {141-156},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Campos, B; Cordero, A; Torregrosa, J R; Vindel, P Dynamics of a multipoint variant of Chebyshev-Halley's family Artículo de revista Applied Mathematics and Computation, 284 , pp. 195-208, 2016, (cited By 0). Enlaces | BibTeX @article{Campos2016195b,
title = {Dynamics of a multipoint variant of Chebyshev-Halley's family},
author = {B Campos and A Cordero and J R Torregrosa and P Vindel},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962022181&doi=10.1016%2fj.amc.2016.03.009&partnerID=40&md5=d9250281944a25e54ea35c858c7ac5ce},
doi = {10.1016/j.amc.2016.03.009},
year = {2016},
date = {2016-01-01},
journal = {Applied Mathematics and Computation},
volume = {284},
pages = {195-208},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Torregrosa, J R; Vassileva, M P Weighted Gaussian correction of Newton-type methods for solving nonlinear systems Artículo de revista Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 59 (1), pp. 23-38, 2016, (cited By 0). Enlaces | BibTeX @article{Cordero201623b,
title = {Weighted Gaussian correction of Newton-type methods for solving nonlinear systems},
author = {A Cordero and J R Torregrosa and M P Vassileva},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84959016964&partnerID=40&md5=476e00a0712540f35ab32c17b3bfd1cc},
year = {2016},
date = {2016-01-01},
journal = {Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie},
volume = {59},
number = {1},
pages = {23-38},
note = {cited By 0},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
2015
|
Chicharro, Francisco Israel; Cordero, Alicia; Torregrosa, Juan Ramon Dynamics and fractal dimension of Steffensen-type methods Artículo de revista Algorithms, 8 , pp. 271–279, 2015. BibTeX @article{CCT-ALG15,
title = {Dynamics and fractal dimension of Steffensen-type methods},
author = {Francisco Israel Chicharro and Alicia Cordero and Juan Ramon Torregrosa},
year = {2015},
date = {2015-01-01},
journal = {Algorithms},
volume = {8},
pages = {271--279},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Computational Mathematics and Mathematical Physics, 55 (12), pp. 1947-1959, 2015, (cited By 2). Enlaces | BibTeX @article{Budzko20151947,
title = {New family of iterative methods based on the Ermakov–Kalitkin scheme for solving nonlinear systems of equations},
author = {D A Budzko and A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84948983651&doi=10.1134%2fS0965542515120040&partnerID=40&md5=01a7928e6702ff1ab99dc37c9ea04fb1},
doi = {10.1134/S0965542515120040},
year = {2015},
date = {2015-01-01},
journal = {Computational Mathematics and Mathematical Physics},
volume = {55},
number = {12},
pages = {1947-1959},
note = {cited By 2},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Argyros, I K; Cordero, A; Magreñán, Á A; Torregrosa, J R Third-degree anomalies of Traub's method Artículo de revista Journal of Computational and Applied Mathematics, 2015, (cited By 1; Article in Press). Enlaces | BibTeX @article{Argyros2015,
title = {Third-degree anomalies of Traub's method},
author = {I K Argyros and A Cordero and Á A Magreñán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84975721672&doi=10.1016%2fj.cam.2016.01.060&partnerID=40&md5=883896e773407b3111522ba6c99a278d},
doi = {10.1016/j.cam.2016.01.060},
year = {2015},
date = {2015-01-01},
journal = {Journal of Computational and Applied Mathematics},
note = {cited By 1; Article in Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R Construction of fourth-order optimal families of iterative methods and their dynamics Artículo de revista Applied Mathematics and Computation, 271 , pp. 89-101, 2015, (cited By 3). Enlaces | BibTeX @article{Behl201589,
title = {Construction of fourth-order optimal families of iterative methods and their dynamics},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84941892840&doi=10.1016%2fj.amc.2015.08.113&partnerID=40&md5=4f0b076fd33532379d0b230bbdfcd297},
doi = {10.1016/j.amc.2015.08.113},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {271},
pages = {89-101},
note = {cited By 3},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Applied Mathematics and Computation, 266 , pp. 927-936, 2015, (cited By 3). Enlaces | BibTeX @article{Argyros2015927,
title = {On the convergence of a damped Newton-like method with modified right hand side vector},
author = {I K Argyros and A Cordero and A Magreñán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84934886686&doi=10.1016%2fj.amc.2015.05.148&partnerID=40&md5=707157996a9c962b8d4f0b9cf2458d0d},
doi = {10.1016/j.amc.2015.05.148},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {266},
pages = {927-936},
note = {cited By 3},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Behl, R; Cordero, A; Motsa, S S; Torregrosa, J R On developing fourth-order optimal families of methods for multiple roots and their dynamics Artículo de revista Applied Mathematics and Computation, 265 , pp. 520-532, 2015, (cited By 6). Enlaces | BibTeX @article{Behl2015520,
title = {On developing fourth-order optimal families of methods for multiple roots and their dynamics},
author = {R Behl and A Cordero and S S Motsa and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84930958447&doi=10.1016%2fj.amc.2015.05.004&partnerID=40&md5=7042c35570f6d6deb3b92213e29168ae},
doi = {10.1016/j.amc.2015.05.004},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {265},
pages = {520-532},
note = {cited By 6},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Lotfi, T; Mahdiani, K; Torregrosa, J R A stable family with high order of convergence for solving nonlinear equations Artículo de revista Applied Mathematics and Computation, 254 , pp. 240-251, 2015, (cited By 5). Enlaces | BibTeX @article{Cordero2015240,
title = {A stable family with high order of convergence for solving nonlinear equations},
author = {A Cordero and T Lotfi and K Mahdiani and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921517437&doi=10.1016%2fj.amc.2014.12.141&partnerID=40&md5=05f19314853ddf56faf33a91b5c0dff1},
doi = {10.1016/j.amc.2014.12.141},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {254},
pages = {240-251},
note = {cited By 5},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Applied Mathematics and Computation, 252 , pp. 315-323, 2015, (cited By 1). Enlaces | BibTeX @article{Argyros2015315,
title = {On the convergence of a Damped Secant method with modified right-hand side vector},
author = {I K Argyros and A Cordero and Á Alberto Magreñán and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920746870&doi=10.1016%2fj.amc.2014.12.029&partnerID=40&md5=52b0e5dc257cba49c5295b09f6305619},
doi = {10.1016/j.amc.2014.12.029},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {252},
pages = {315-323},
note = {cited By 1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Budzko, D; Cordero, A; Torregrosa, J R A new family of iterative methods widening areas of convergence Artículo de revista Applied Mathematics and Computation, 252 , pp. 405-417, 2015, (cited By 3). Enlaces | BibTeX @article{Budzko2015405,
title = {A new family of iterative methods widening areas of convergence},
author = {D Budzko and A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920147769&doi=10.1016%2fj.amc.2014.12.028&partnerID=40&md5=646fcd36f95894c9ace75aa1825d620b},
doi = {10.1016/j.amc.2014.12.028},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {252},
pages = {405-417},
note = {cited By 3},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
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 Artículo de revista Applied Mathematics and Computation, 251 , pp. 396-403, 2015, (cited By 8). Enlaces | BibTeX @article{Cordero2015396,
title = {On the local convergence of a fifth-order iterative method in Banach spaces},
author = {A Cordero and J A Ezquerro and M A Hernández-Verón and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84916898371&doi=10.1016%2fj.amc.2014.11.084&partnerID=40&md5=2d13980eb213b2b92bc5e619a0174e1f},
doi = {10.1016/j.amc.2014.11.084},
year = {2015},
date = {2015-01-01},
journal = {Applied Mathematics and Computation},
volume = {251},
pages = {396-403},
note = {cited By 8},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Cordero, A; Torregrosa, J R Low-complexity root-finding iteration functions with no derivatives of any order of convergence Artículo de revista Journal of Computational and Applied Mathematics, 275 , pp. 502-515, 2015, (cited By 10). Enlaces | BibTeX @article{Cordero2015502,
title = {Low-complexity root-finding iteration functions with no derivatives of any order of convergence},
author = {A Cordero and J R Torregrosa},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908175962&doi=10.1016%2fj.cam.2014.01.024&partnerID=40&md5=47e98294ed08ced5ecaf29525d63503e},
doi = {10.1016/j.cam.2014.01.024},
year = {2015},
date = {2015-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {275},
pages = {502-515},
note = {cited By 10},
keywords = {},
pubstate = {published},
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