A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations
The basic requirement of Newtons method in solving systems of nonlinear equations is, the Jacobian must be non-singular. Violating this condition, i.e. the Jacobian to be singular the convergence is too slow and may even be lost. This condition restricts to some extent the application of Newton...
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my-unisza-ir.55912022-09-13T05:18:28Z http://eprints.unisza.edu.my/5591/ A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. QA Mathematics The basic requirement of Newtons method in solving systems of nonlinear equations is, the Jacobian must be non-singular. Violating this condition, i.e. the Jacobian to be singular the convergence is too slow and may even be lost. This condition restricts to some extent the application of Newton method. In this paper we suggest a new approach for solving fuzzy nonlinear equations where the Jacobian is singular, via incorporating extra updating and restarting strategies in Newton’s method . The anticipation has been to bypass the point(s) in which the Jacobian is singular. Some numerical experiments have been reported, to show the efficiency of our approach and the results are compared with classical Newton’s method. HIKARI Ltd. 2014 Article PeerReviewed image en http://eprints.unisza.edu.my/5591/1/FH02-FIK-15-02360.jpg Mustafa, Mamat and Mohammed Yusuf, Waziri and Hafiza Aisha, A. (2014) A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations. Applied Mathematical Sciences, 8 (141). pp. 7047-7057. ISSN 1312885X [P] |
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QA Mathematics Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
description |
The basic requirement of Newtons method in solving systems of
nonlinear equations is, the Jacobian must be non-singular. Violating
this condition, i.e. the Jacobian to be singular the convergence is too
slow and may even be lost. This condition restricts to some extent
the application of Newton method. In this paper we suggest a new
approach for solving fuzzy nonlinear equations where the Jacobian is
singular, via incorporating extra updating and restarting strategies in
Newton’s method . The anticipation has been to bypass the point(s)
in which the Jacobian is singular. Some numerical experiments have
been reported, to show the efficiency of our approach and the results
are compared with classical Newton’s method. |
format |
Article |
author |
Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. |
author_facet |
Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. |
author_sort |
Mustafa, Mamat |
title |
A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
title_short |
A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
title_full |
A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
title_fullStr |
A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
title_full_unstemmed |
A Newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
title_sort |
newton's-like method with extra updating strategy for solving singular fuzzy nonlinear equations |
publisher |
HIKARI Ltd. |
publishDate |
2014 |
url |
http://eprints.unisza.edu.my/5591/1/FH02-FIK-15-02360.jpg http://eprints.unisza.edu.my/5591/ |
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13.18916 |