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2013 An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations
Mohammed Yusuf Waziri, Zanariah Abdul Majid
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/875935

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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Mohammed Yusuf Waziri. Zanariah Abdul Majid. "An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/875935

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.65107
MathSciNet: MR3032246
Digital Object Identifier: 10.1155/2013/875935

Rights: Copyright © 2013 Hindawi

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