Please use this identifier to cite or link to this item: 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
Source: 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
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