Article
Matrix Inequalities by Means of Block Matrices
Mathematical Inequalities and Applications
Document Type
Article
Publication Date
1-1-2001
Keywords
- Eigenvalue inequality,
- Hadamard (Schur) product,
- Matrix inequality,
- Positive semidefinite matrix,
- Singular value inequality,
- Unitarily invariant norm,
- Weak log-majorization
Disciplines
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
DOI
10.7153/mia-04-42
Citation Information
Fuzhen Zhang. "Matrix Inequalities by Means of Block Matrices" Mathematical Inequalities and Applications Vol. 4 Iss. 4 (2001) p. 481 - 490 ISSN: 1331-4343 Available at: http://works.bepress.com/fuzhen-zhang/81/
Mathematics subject classification (2000): 15A45