Authors
Citation
F. Hiai, Concavity of certain matrix trace functions, TAIWAN J M, 5(3), 2001, pp. 535-554
Citations number
10
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487
→ ACNP
Volume
5
Issue
3
Year of publication
2001
Pages
535 - 554
Database
ISI
SICI code
1027-5487(200109)5:3<535:COCMTF>2.0.ZU;2-M
Abstract
We demonstrate how Epstein's method using theory of Pick functions improves
the existing results and also proves new ones on the joint concavity of tr
ace functions of the form Tr (F(A(1),..., A(k))), where F(A(1),..., A(k)) i
s a matrix-valued function of positive semidefinite matrices A(1),..., A(k)
.