A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-9
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Waziri M. Y.¹²,Leong W. J.¹,Mamat M.³

Affiliation:

1. Department of Mathematics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Malaysia

2. Department of Mathematics, Faculty of Science, Bayero University Kano, Kano 2340, Nigeria

3. Department of Mathematics, Faculty of Science and Technology, Malaysia Terengganu University, Kuala Lumpur 21030 Terengganu, Malaysia

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/348654.pdf

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