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. © 2012 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.
| Original language | American English |
|---|---|
| Pages (from-to) | 1779-1786 |
| Number of pages | 8 |
| Journal | Acta Mathematica Sinica |
| Volume | 28 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2012 |
Funding
Received April 22, 2011, accepted September 6, 2011 Supported by NSU FCAS Faculty Development Funds 2011
| Funders |
|---|
| NSU-FCAS |
ASJC Scopus Subject Areas
- General Mathematics
- Applied Mathematics
Keywords
- Determinant
- Generalized matrix function
- Permanent
- Trace
- trace
- permanent
- generalized matrix function
Disciplines
- Mathematics
Fingerprint
Dive into the research topics of 'Positivity of Matrices with Generalized Matrix Functions'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS