Mathematics Faculty Articles
Positivity of Matrices with Generalized Matrix Functions
Document Type
Article
Publication Date
9-1-2012
Publication Title
Acta Mathematica Sinica
Keywords
Determinant, Generalized matrix function, Permanent, Trace
ISSN
1439-8516
Volume
28
Issue/No.
9
First Page
1779
Last Page
1786
Abstract
Using an elementary fact on matrices we show by a unified approach the positivity of a partitioned positive semidefinite matrix with each square block replaced by a compound matrix, an elementary symmetric function or a generalized matrix function. In addition, we present a refined version of the Thompson determinant compression theorem
NSUWorks Citation
Zhang, Fuzhen, "Positivity of Matrices with Generalized Matrix Functions" (2012). Mathematics Faculty Articles. 97.
https://nsuworks.nova.edu/math_facarticles/97
DOI
10.1007/s10114-012-1210-0
