Löwner’s Operator and Spectral Functions in Euclidean Jordan Algebras
dc.contributor.author | Sun, D. | |
dc.contributor.author | Sun, Jie | |
dc.date.accessioned | 2017-01-30T13:19:08Z | |
dc.date.available | 2017-01-30T13:19:08Z | |
dc.date.created | 2014-09-02T20:01:17Z | |
dc.date.issued | 2008 | |
dc.identifier.citation | Sun, D. and Sun, J. 2008. Löwner’s Operator and Spectral Functions in Euclidean Jordan Algebras. Mathematics of Operations Research. 33: pp. 421-445. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/30342 | |
dc.identifier.doi | 10.1287/moor.1070.0300 | |
dc.description.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 solution would be of general interest for optimization. | |
dc.publisher | Institute for Operations Research and the Management Sciences (I N F O R M S) | |
dc.title | Löwner’s Operator and Spectral Functions in Euclidean Jordan Algebras | |
dc.type | Journal Article | |
dcterms.source.volume | 33 | |
dcterms.source.startPage | 421 | |
dcterms.source.endPage | 445 | |
dcterms.source.issn | 0364-765X | |
dcterms.source.title | Mathematics of Operations Research | |
curtin.accessStatus | Fulltext not available |