Zobrazeno 1 - 4
of 4
pro vyhledávání: '"José Manuel Gutiérrez-Jiménez"'
Autor:
José Ignacio Extreminana-Aldana, José Manuel Gutiérrez-Jiménez, Luis Javier Hernández-Paricio, María Teresa Rivas-Rodríguéz
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1914 (2021)
The aim of this paper is to study, from a topological and geometrical point of view, the iteration map obtained by the application of iterative methods (Newton or relaxed Newton’s method) to a polynomial equation. In fact, we present a collection o
Externí odkaz:
https://doaj.org/article/d22a65cff90f4e4c9c8279f8ebfe269d
Autor:
María Teresa Rivas-Rodríguéz, José Ignacio Extreminana-Aldana, Luis Javier Hernández-Paricio, José Manuel Gutiérrez-Jiménez
Publikováno v:
Mathematics
Volume 9
Issue 16
RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
Mathematics, Vol 9, Iss 1914, p 1914 (2021)
Volume 9
Issue 16
RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
Mathematics, Vol 9, Iss 1914, p 1914 (2021)
The aim of this paper is to study, from a topological and geometrical point of view, the iteration map obtained by the application of iterative methods (Newton or relaxed Newton’s method) to a polynomial equation. In fact, we present a collection o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6044455f676f2ffe5c38959550f25962
Publikováno v:
RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
instname
In this work we provide analytic and graphic arguments to explain the behaviour of Chebyshev’s method applied to cubic polynomials in the complex plane. In particular, we study the parameter plane related to this method and we compare it with other
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f13d1d2364af4512f8e9219e1215b09f
https://doi.org/10.1007/s12346-020-00390-5
https://doi.org/10.1007/s12346-020-00390-5
Publikováno v:
SeMA Journal. 74:57-73
In this paper we extend to the multidimensional case some iterative methods that are known in their scalar version. All the schemes considered here are two-step methods with fourth-order local convergence, where the first step is Newton’s method. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b0f7605a491c03750d8a482920d1231
https://doi.org/10.1007/s40324-016-0080-2
https://doi.org/10.1007/s40324-016-0080-2