A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations
Joint Authors
Waziri, Mohammed Yusuf
Sabi’u, Jamilu
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We suggest a conjugate gradient (CG) method for solving symmetric systems of nonlinear equations without computing Jacobian and gradient via the special structure of the underlying function.
This derivative-free feature of the proposed method gives it advantage to solve relatively large-scale problems (500,000 variables) with lower storage requirement compared to some existing methods.
Under appropriate conditions, the global convergence of our method is reported.
Numerical results on some benchmark test problems show that the proposed method is practically effective.
American Psychological Association (APA)
Waziri, Mohammed Yusuf& Sabi’u, Jamilu. 2015. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066220
Modern Language Association (MLA)
Waziri, Mohammed Yusuf& Sabi’u, Jamilu. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1066220
American Medical Association (AMA)
Waziri, Mohammed Yusuf& Sabi’u, Jamilu. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066220
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066220