A characterization of strong preservers of matrix majorization

被引：18

作者：

Beasley, LB

Lee, SG ^{[1
]}

Lee, YH

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440740, South Korea

[2] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[3] Gyungsan Univ, Dept Math, Gyungpook 710715, South Korea

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 367卷

关键词：

matrix majorization; row stochastic matrix; linear preserver;

D O I：

10.1016/S0024-3795(02)00657-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A matrix A is said to be matrix majorized by a matrix B, written A < B, if there exists an n x n row stochastic matrix X such that A = BX. This is a generalization of multivariate majorization. In this paper, we characterize the linear operators that strongly preserve the matrix majorization. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：341 / 346

页数：6

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