Some Inequalities of Majorization Type
Linear Algebra and its Applications
Eigenvalue, Hermitian matrix, Majorization, Matrix inequality, Matrix norm, Positive semidefinite matrix, Singular value, Unitarily invariant norm
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, and trace inequalities of matrices. We also present a generalization and a different proof of a recent result on majorization concerning partitioned Hermitian positive semidefinite matrices
Turkman, Ramazan; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "Some Inequalities of Majorization Type" (2012). Mathematics Faculty Articles. 112.