a two-step matrix-free secant method for solving large-scale systems of nonlinear equations

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ID: 191147
2012
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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.
Reference Key
waziri2012journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. Y. Waziri;W. J. Leong;M. Mamat
Journal Chemico-biological interactions
Year 2012
DOI
10.1155/2012/348654
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