An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations
Joint Authors
Waziri, Mohammed Yusuf
Abdul Majid, Zanariah
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Diagonal updating scheme is among the cheapest Newton-like methods for solving system of nonlinear equations.
Nevertheless, the method has some shortcomings.
In this paper, we proposed an improved matrix-free secant updating scheme via line search strategies, by using the steps of backtracking in the Armijo-type line search as a step length predictor and Wolfe-Like condition as corrector.
Our approach aims at improving the overall performance of diagonal secant updating scheme.
Under mild assumptions, the global convergence results have been presented.
Numerical experiments verify that the proposed approach is very promising.
American Psychological Association (APA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. 2013. An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500214
Modern Language Association (MLA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-500214
American Medical Association (AMA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500214
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500214