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Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras.
- Source :
- Mathematics of Operations Research; May2008, Vol. 33 Issue 2, p421-445, 25p
- Publication Year :
- 2008
-
Abstract
- We study analyticity, differentiability, and semismoothness of Löwner's operator and spectral functions under the framework of Euclidean Jordan algebras. In particular, we show that many optimization-related classical results in the symmetric matrix space can be generalized within this framework. For example, the metric projection operator over any symmetric cone defined in a Euclidean Jordan algebra is shown to be strongly semismooth. The research also raises several open questions, whose answers would be of strong interest for optimization research. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0364765X
- Volume :
- 33
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Mathematics of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 32727206
- Full Text :
- https://doi.org/10.1287/moor.1070.0300