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On certain optimization problems related to matrix norms.
- Source :
-
Optimization . Oct2016, Vol. 65 Issue 10, p1791-1803. 13p. - Publication Year :
- 2016
-
Abstract
- In this paper, first, we show that the following optimization problem always has an optimal solution which does not depend on the matrix norm, and give a sufficient condition for the uniqueness of optimal solutions:(Section.Display) whereis any unitarily invariant norm,, andor. Then, we characterize the optimal solutions and also give sufficient conditions for the uniqueness and the rank-one property of optimal solutions for the following optimization problem:(Section.Display) where, is the inner product of matrices;,,, and’s,are different arbitrary norms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 65
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 117522171
- Full Text :
- https://doi.org/10.1080/02331934.2016.1217860