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三次幂等矩阵与酉矩阵线性组合的研究

任芳国 王林娥 秦晓燕

纺织高校基础科学学报Issue(3):313-317,5.
纺织高校基础科学学报Issue(3):313-317,5.

三次幂等矩阵与酉矩阵线性组合的研究

Some researches of linear combinations of two tripotents and unitary matrices

任芳国 1王林娥 1秦晓燕1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 折叠

摘要

Abstract

Given two nonzero tripotent matrices P1 ,P2 and unitary matrices U1 ,U2 ,tripotency and unility problems of linear combinations that were preserved were discused by using algebra method .Some suffi-cient and necessary conditions of c1 P1 + c2 P2 were obtained .And some sufficient condition of c1U2 + c2U2 for a unitary matrix were given .The property of linear combinations of unitary matrices was character-ized .

关键词

三次幂等矩阵/酉矩阵/压缩矩阵/极分解

Key words

tripotent matrix/unitary matrix/contraction matrix/polar decomposition

分类

数理科学

引用本文复制引用

任芳国,王林娥,秦晓燕..三次幂等矩阵与酉矩阵线性组合的研究[J].纺织高校基础科学学报,2013,(3):313-317,5.

基金项目

国家自然科学基金资助项目(11171201);陕西省自然科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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