Simultaneous roots for vectorial problems-Reference-Cited by-同舟云学术

Simultaneous roots for vectorial problems

Published:2023-06-23 Issue:5 Volume:42 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Chinesta Francisco,Cordero Alicia,Garrido Neus,Torregrosa Juan R.^ORCID,Triguero-Navarro Paula

Abstract

AbstractIn this manuscript, we design an iterative step that can be added to any numerical process for solving systems of nonlinear equations. By means of this addition, the resulting iterative scheme obtains, simultaneously, all the solutions to the vectorial problem. Moreover, the order of this new iterative procedure duplicates that of their original partner. We apply this step to some known methods and analyse the behaviour of these new algorithms, obtaining simultaneously the roots of several nonlinear systems.

Funder

Universitat Politècnica de València

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-023-02366-y.pdf

Reference12 articles.

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2. Cordero A, Torregrosa JR (2007) Variants of Newton’s method using fifth-order quadrature formulas. Appl Math Comput 190:686–698. https://doi.org/10.1016/j.amc.2007.01.062

3. Cordero A, Garrido N, Torregrosa JR, Triguero-Navarro P (2022) Iterative schemes for finding all roots simultaneously of nonlinear equations. Appl Math Lett 134:108325. https://doi.org/10.1016/j.aml.2022.108325