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An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations


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

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
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