Bibliographic Details
| Title: |
A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations. |
| Authors: |
Waziri, M. Y.1,2 mywaziri@gmail.com, Leong, W. J.1, Mamat, M.3 |
| Source: |
Journal of Applied Mathematics. 2012, p1-9. 9p. |
| Subjects: |
Matrices (Mathematics), Secant function, Nonlinear equations, Performance evaluation, Analysis of variance, Numerical solutions to differential equations, Mathematical forms |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
