An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations
Joint Authors
Waziri, Mohammed Yusuf
Abdul Majid, Zanariah
Source
Journal of Applied Mathematics
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
We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations.
In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition.
The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions.
The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods.
American Psychological Association (APA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. 2013. An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-505435
Modern Language Association (MLA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-505435
American Medical Association (AMA)
Waziri, Mohammed Yusuf& Abdul Majid, Zanariah. An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-505435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505435