row stochastic matrix;
matrix majorization;
linear preserver;
D O I:
10.1016/j.laa.2006.12.016
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
An n x in matrix A is said to be matrix majorized (or more precisely matrix majorized from the tight) by an n x in matrix B, and write A < B, if there exists a row stochastic matrix R such that A = BR. We characterize the linear operators that preserve the matrix majorization <. (C) 2007 Elsevier Inc. All rights reserved.