A Two‐Step Matrix‐Free Secant Method for Solving Large‐Scale Systems of Nonlinear Equations

M. Y. Waziri, W. J. Leong and M. Mamat

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We propose an approach to enhance the performance of a diagonal variant of secant method for solving large‐scale systems of nonlinear equations. In this approach, we consider diagonal secant method using data from two preceding steps rather than a single step derived using weak secant equation to improve the updated approximate Jacobian in diagonal form. The numerical results verify that the proposed approach is a clear enhancement in numerical performance.

Date: 2012
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https://doi.org/10.1155/2012/348654

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:348654

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