Inequalities for Symmetric Functions and Hermitian Matrices

1 January 1957

journal article
Published by Canadian Mathematical Society in Canadian Journal of Mathematics

Vol. 9, 305-312
https://doi.org/10.4153/cjm-1957-037-9

Abstract

The purpose of this paper is to present two concavity results for symmetric functions and apply these to obtain inequalities connecting the characteristic roots of the non-negative Hermitian (n.n.h.) matrices A, B and A + B.

Keywords

SYMMETRIC FUNCTIONS
CONCAVITY
N.N.H
INEQUALITIES
HERMITIAN MATRICES
FUNCTIONS AND HERMITIAN
MATRICES THE PURPOSE

This publication has 2 references indexed in Scilit:

Extremal Properties Of Hermitian Matrices
Canadian Journal of Mathematics, 1956
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations
Proceedings of the National Academy of Sciences, 1950