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A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations
Joint Authors
Erfanian, Hamid Reza
Kamyad, Ali Vahidian
Noori Skandari, M. H.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present a new approach for solving nonsmooth optimization problems and a system of nonsmooth equations which is based on generalized derivative.
For this purpose, we introduce the first order of generalized Taylor expansion of nonsmooth functions and replace it with smooth functions.
In other words, nonsmooth function is approximated by a piecewise linear function based on generalized derivative.
In the next step, we solve smooth linear optimization problem whose optimal solution is an approximate solution of main problem.
Then, we apply the results for solving system of nonsmooth equations.
Finally, for efficiency of our approach some numerical examples have been presented.
American Psychological Association (APA)
Erfanian, Hamid Reza& Noori Skandari, M. H.& Kamyad, Ali Vahidian. 2013. A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-495810
Modern Language Association (MLA)
Erfanian, Hamid Reza…[et al.]. A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations. Journal of Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-495810
American Medical Association (AMA)
Erfanian, Hamid Reza& Noori Skandari, M. H.& Kamyad, Ali Vahidian. A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-495810
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495810