Linear operators preserving multivariate majorization

被引：15

作者：

Beasley, LB ^{[1
]}

Lee, SG

机构：

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

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 304卷 / 1-3期

关键词：

majorization; multivariate majorization; preserver; doubly stochastic matrix;

D O I：

10.1016/S0024-3795(99)00227-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize linear operators on real matrices that preserve multivariate majorization, We place no additional restrictions on the linear operator. (C) 2000 Elsevier Science Inc; All rights reserved.

引用

页码：141 / 159

页数：19

共 9 条

[1] MAJORIZATION, DOUBLY STOCHASTIC MATRICES, AND COMPARISON OF EIGENVALUES
ANDO, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 118 : 163 - 248
[2] MAJORIZATIONS AND INEQUALITIES IN MATRIX-THEORY
ANDO, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 199 : 17 - 67
[3] BEASLEY LB, 1999, RESOLUTION CONJECTUR
[4] BEASLEY LB, 1999, KYUGPOOK MATH J, V39, P191
[5] INEQUALITIES - THEORY OF MAJORIZATION AND ITS APPLICATIONS - COMMENT
BONDAR, JV
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 199 : 115 - 129
[6] Brualdi R. A., 1991, COMBINATORIAL MATRIX, V39
[7] Matrix majorization
Dahl, G
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 288 (1-3) : 53 - 73
[8] Marshall Albert W., 1979, INEQUALITIES THEORY, V143
[9] PIERCE S, 1992, LINEAR MULTILINEAR A, V33

← 1 →