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The Mordukhovich Subdifferentials and Directions of Descent.
- Source :
-
Journal of Optimization Theory & Applications . Feb2017, Vol. 172 Issue 2, p518-534. 17p. - Publication Year :
- 2017
-
Abstract
- The problem of finding minima of weakly sequentially lower semicontinuous functions on reflexive Banach spaces is studied by means of convex and nonconvex subdifferentials. Finding a descent direction for a non-stationary point is a question of importance for many optimization algorithms. The existence or non-existence of such a direction is clarified through several theorems and a series of selective examples. For the general problem, a notion called radius of descent is proposed and shown to be useful for the analysis related to descent directions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 172
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 121083759
- Full Text :
- https://doi.org/10.1007/s10957-015-0774-0