Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations

We present a fixed-point iterative method for solving systems of nonlinear equations. The convergence theorem of the proposed method is proved under suitable conditions. In addition, some numerical results are also reported in the paper, which confirm the good theoretical properties of our approach.

Detalles Bibliográficos
Autores principales: Huang, Na, Ma, Changfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3982483/
https://www.ncbi.nlm.nih.gov/pubmed/24795537
http://dx.doi.org/10.1155/2014/789459
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author Huang, Na
Ma, Changfeng
author_facet Huang, Na
Ma, Changfeng
author_sort Huang, Na
collection PubMed
description We present a fixed-point iterative method for solving systems of nonlinear equations. The convergence theorem of the proposed method is proved under suitable conditions. In addition, some numerical results are also reported in the paper, which confirm the good theoretical properties of our approach.
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spelling pubmed-39824832014-05-04 Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations Huang, Na Ma, Changfeng ScientificWorldJournal Research Article We present a fixed-point iterative method for solving systems of nonlinear equations. The convergence theorem of the proposed method is proved under suitable conditions. In addition, some numerical results are also reported in the paper, which confirm the good theoretical properties of our approach. Hindawi Publishing Corporation 2014-03-24 /pmc/articles/PMC3982483/ /pubmed/24795537 http://dx.doi.org/10.1155/2014/789459 Text en Copyright © 2014 N. Huang and C. Ma. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Huang, Na
Ma, Changfeng
Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title_full Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title_fullStr Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title_full_unstemmed Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title_short Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations
title_sort convergence analysis and numerical study of a fixed-point iterative method for solving systems of nonlinear equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3982483/
https://www.ncbi.nlm.nih.gov/pubmed/24795537
http://dx.doi.org/10.1155/2014/789459
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AT machangfeng convergenceanalysisandnumericalstudyofafixedpointiterativemethodforsolvingsystemsofnonlinearequations

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