A structured Broyden's-like method for solving systems of nonlinear equations
We suggested a Broyden’s-Like method in which the Jacobian of the system has some special structure. In this approach, instead of approximating the whole Jacobian using the Broyden’s updating formula, we considered an update which only approximates part of the Jacobian matrix that is not easily a...
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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/5594/1/FH02-FIK-15-02361.jpg http://eprints.unisza.edu.my/5594/ |
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| Summary: | We suggested a Broyden’s-Like method in which the Jacobian of
the system has some special structure. In this approach, instead of
approximating the whole Jacobian using the Broyden’s updating formula, we considered an update which only approximates part of the
Jacobian matrix that is not easily attained. The anticipation has been
to further improve the performance of Broyden’s scheme in which the
Jacobian of the system has some special structure. The effectiveness of
our proposed scheme is appraised through numerical comparison with
some well known Newton’s-like methods. |
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