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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
HIKARI Ltd.
2014
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| Subjects: | |
| Online Access: | http://eprints.unisza.edu.my/5591/1/FH02-FIK-15-02360.jpg http://eprints.unisza.edu.my/5591/ |
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| Summary: | 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. |
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