Citation
Waziri, Mohammed Yusuf and Abdul Majid, Zanariah
(2013)
An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations.
Journal of Applied Mathematics, 2013.
art. no. 875935.
pp. 1-6.
ISSN 1110-757X; ESSN:1687-0042
Abstract
We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions. The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods.
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Official URL or Download Paper: http://dx.doi.org/10.1155/2013/875935
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/875935 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Nonlinear equations; Jacobian approximation; Quasi-Cauchy condition; Quasi-Newton |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 25 Aug 2014 04:54 |
| Last Modified: | 12 Feb 2016 08:59 |
| URI: | http://psasir.upm.edu.my/id/eprint/30184 |
| Statistic Details: | View Download Statistic |
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