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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my-unisza-ir.55942022-09-13T06:14:25Z http://eprints.unisza.edu.my/5594/ A structured Broyden's-like method for solving systems of nonlinear equations Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. QA75 Electronic computers. Computer science 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. HIKARI Ltd. 2014 Article PeerReviewed image en http://eprints.unisza.edu.my/5594/1/FH02-FIK-15-02361.jpg Mustafa, Mamat and Mohammed Yusuf, Waziri and Hafiza Aisha, A. (2014) A structured Broyden's-like method for solving systems of nonlinear equations. Applied Mathematical Sciences, 8 (141). pp. 7039-7046. ISSN 1312885X [P] |
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| language |
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QA75 Electronic computers. Computer science |
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QA75 Electronic computers. Computer science Mustafa, Mamat Mohammed Yusuf, Waziri Hafiza Aisha, A. A structured Broyden's-like method for solving systems of nonlinear equations |
| description |
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. |
| 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 structured Broyden's-like method for solving systems of nonlinear equations |
| title_short |
A structured Broyden's-like method for solving systems of nonlinear equations |
| title_full |
A structured Broyden's-like method for solving systems of nonlinear equations |
| title_fullStr |
A structured Broyden's-like method for solving systems of nonlinear equations |
| title_full_unstemmed |
A structured Broyden's-like method for solving systems of nonlinear equations |
| title_sort |
structured broyden's-like method for solving systems of nonlinear equations |
| publisher |
HIKARI Ltd. |
| publishDate |
2014 |
| url |
http://eprints.unisza.edu.my/5594/1/FH02-FIK-15-02361.jpg http://eprints.unisza.edu.my/5594/ |
| _version_ |
1744358532886560768 |
| score |
13.251813 |