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A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations

This paper presents a variation of Newton’s method, based on a diagonal Jacobian approximation scheme on an accelerated Shamanskii process for systems of nonlinear equations especially on problems with singular Fréchet derivative at the solution points. This method aims to reduce the computation c...

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Main Authors: Ibrahim Sulaiman, Mohammed, Mustafa, Mamat
格式: Article
語言:English
出版: 2020
主題:
QA Mathematics
在線閱讀:http://eprints.unisza.edu.my/7421/1/FH02-FIK-20-46981.pdf
http://eprints.unisza.edu.my/7421/
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spelling my-unisza-ir.74212022-06-05T01:25:52Z http://eprints.unisza.edu.my/7421/ A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations Ibrahim Sulaiman, Mohammed Mustafa, Mamat QA Mathematics This paper presents a variation of Newton’s method, based on a diagonal Jacobian approximation scheme on an accelerated Shamanskii process for systems of nonlinear equations especially on problems with singular Fréchet derivative at the solution points. This method aims to reduce the computation cost and storage requirements as in Newton-type methods. Numerical results are presented to illustrate the efficiency of the proposed scheme. 2020-12 Article PeerReviewed text en http://eprints.unisza.edu.my/7421/1/FH02-FIK-20-46981.pdf Ibrahim Sulaiman, Mohammed and Mustafa, Mamat (2020) A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations. International Journal of Mathematical and Computational Methods, 5 (1). pp. 52-55. ISSN 2367-895X
institution Universiti Sultan Zainal Abidin
building UNISZA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sultan Zainal Abidin
content_source UNISZA Institutional Repository
url_provider https://eprints.unisza.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ibrahim Sulaiman, Mohammed
Mustafa, Mamat
A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
description This paper presents a variation of Newton’s method, based on a diagonal Jacobian approximation scheme on an accelerated Shamanskii process for systems of nonlinear equations especially on problems with singular Fréchet derivative at the solution points. This method aims to reduce the computation cost and storage requirements as in Newton-type methods. Numerical results are presented to illustrate the efficiency of the proposed scheme.
format Article
author Ibrahim Sulaiman, Mohammed
Mustafa, Mamat
author_facet Ibrahim Sulaiman, Mohammed
Mustafa, Mamat
author_sort Ibrahim Sulaiman, Mohammed
title A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_short A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_full A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_fullStr A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_full_unstemmed A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_sort modified shamanskii accelerated scheme via diagonal jacobian approximation for nonlinear equations
publishDate 2020
url http://eprints.unisza.edu.my/7421/1/FH02-FIK-20-46981.pdf
http://eprints.unisza.edu.my/7421/
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score 13.251813

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