Abstract
We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of anumber ofauthors, then present some basic matrix inequalities and apply them to obtain a number of matrix inequalities involving sum, ordinary product and Hadamard product
| Original language | American English |
|---|---|
| Pages (from-to) | 481-490 |
| Number of pages | 10 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 4 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jan 1 2001 |
ASJC Scopus Subject Areas
- General Mathematics
- Applied Mathematics
Keywords
- Eigenvalue inequality
- Hadamard (Schur) product
- Matrix inequality
- Positive semidefinite matrix
- Singular value inequality
- Unitarily invariant norm
- Weak log-majorization
Disciplines
- Mathematics
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