A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations
Joint Authors
Waziri, M. Y.
Leong, Wah June
Mamat, Mustafa
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Waziri, M. Y.& Leong, Wah June& Mamat, Mustafa. 2012. A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993171
Modern Language Association (MLA)
Waziri, M. Y.…[et al.]. A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-993171
American Medical Association (AMA)
Waziri, M. Y.& Leong, Wah June& Mamat, Mustafa. A Two-Step Matrix-Free Secant Method for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993171
