Matrices whose powers approximate the identity

被引：0
|
作者：
Benitez, Julio [1 ]
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 11期
关键词：
spectral theory; unitary; Hermitian; nonnegative; stochastic matrices;
D O I：
10.1016/j.aml.2006.01.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we characterize the matrices A with the following property: for each epsilon > 0 there exists a k is an element of N such that parallel to A(k) - I parallel to < epsilon for a given matrix norm. This characterization is applied to the theory of unitary, Hermitian nonnegative, positive and stochastic matrices. (c) 2006 Elsevier Ltd. All rights reserved.
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收藏
页码：1249 / 1254
页数：6
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