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|Title:||Löwner's operator and spectral functions in Euclidean Jordan algebras|
|Authors:||Sun, D. |
|Keywords:||Euclidean Jordan algebras|
|Citation:||Sun, D., Sun, J. (2008-05). Löwner's operator and spectral functions in Euclidean Jordan algebras. Mathematics of Operations Research 33 (2) : 421-445. ScholarBank@NUS Repository. https://doi.org/10.1287/moor.1070.0300|
|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. © 2008 INFORMS.|
|Source Title:||Mathematics of Operations Research|
|Appears in Collections:||Staff Publications|
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