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https://doi.org/10.1287/moor.1070.0300
Title: | Löwner's operator and spectral functions in Euclidean Jordan algebras | Authors: | Sun, D. Sun, J. |
Keywords: | Euclidean Jordan algebras Löwner's operator Semismoothness Spectral functions |
Issue Date: | May-2008 | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/53017 | ISSN: | 0364765X | DOI: | 10.1287/moor.1070.0300 |
Appears in Collections: | Staff Publications |
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