## Mathematics Faculty Articles

# Another Proof of a Singular Value Inequality Concerning Hadamard Products of Matrices

## Document Type

Article

## Publication Date

1988

## Publication Title

Linear and Multilinear Algebra

## ISSN

0308-1087

## Volume

22

## Issue/No.

4

## First Page

307

## Last Page

311

## Abstract

Let A B denote the Hadamard product of A and B A B the same size complex matrices. let σ(A) denote the singular value vector of A. with components in decreasing order and let M_{n} (C) denote the space of all complex n×n matrices. This paper gives another proof of singular value inequality

σ(A B)≺_{ω} σ(A) σ(B)

for any A B∈M_{n} (C), which has been obtained recently in {1, 3, 4, 7].

## NSUWorks Citation

Zhang, Fuzhen, "Another Proof of a Singular Value Inequality Concerning Hadamard Products of Matrices" (1988). *Mathematics Faculty Articles*. 29.

https://nsuworks.nova.edu/math_facarticles/29

## DOI

10.1080/03081088808817843