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A new self-scaling variable metric (DFP) method for unconstrained optimization problems
Joint Authors
Sharif, Salah Ghazi
Ibrahim, Ala Luqman
Yasin, Zaynah Talal
Source
General Letters in Mathematics
Issue
Vol. 9, Issue 1 (30 Sep. 2020), pp.46-52, 7 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2020-09-30
Country of Publication
Jordan
No. of Pages
7
Main Subjects
Abstract EN
In this study, a new self-scaling variable metric (VM)-updating method for solving nonlinear unconstrained optimization problems is presented.
The general strategy of (New VM-updating) is to propose a new quasi-newton condition used for update the usual DFP Hessian to a number of times in a way to be specified in some iteration with PCG method to improve the performance of the Hessian approximation.
We show that it produces a positive definite matrix.
Experimental results indicate that the new suggested method was more efficient than the standard DFP method, with respect to the number of functions evaluations (NOF) and number of iterations (NOI).
American Psychological Association (APA)
Sharif, Salah Ghazi& Ibrahim, Ala Luqman& Yasin, Zaynah Talal. 2020. A new self-scaling variable metric (DFP) method for unconstrained optimization problems. General Letters in Mathematics،Vol. 9, no. 1, pp.46-52.
https://search.emarefa.net/detail/BIM-1427070
Modern Language Association (MLA)
Sharif, Salah Ghazi…[et al.]. A new self-scaling variable metric (DFP) method for unconstrained optimization problems. General Letters in Mathematics Vol. 9, no. 1 (2020), pp.46-52.
https://search.emarefa.net/detail/BIM-1427070
American Medical Association (AMA)
Sharif, Salah Ghazi& Ibrahim, Ala Luqman& Yasin, Zaynah Talal. A new self-scaling variable metric (DFP) method for unconstrained optimization problems. General Letters in Mathematics. 2020. Vol. 9, no. 1, pp.46-52.
https://search.emarefa.net/detail/BIM-1427070
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 50-51
Record ID
BIM-1427070