Matrix Inequalities by Means of Block Matrices
Mathematical Inequalities and Applications
Eigenvalue inequality, Hadamard (Schur) product, Matrix inequality, Positive semidefinite matrix, Singular value inequality, Unitarily invariant norm, Weak log-majorization
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
Zhang, Fuzhen, "Matrix Inequalities by Means of Block Matrices" (2001). Mathematics Faculty Articles. 72.