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复矩阵的Hadamard乘积正定性

沈浮 田玉敏 王鹏 叶绪国

重庆理工大学学报(自然科学版)2011,Vol.25Issue(6):121-123,3.
重庆理工大学学报(自然科学版)2011,Vol.25Issue(6):121-123,3.

复矩阵的Hadamard乘积正定性

Positive Definite of Hadamard Multiplication of Complex Matrix

沈浮 1田玉敏 1王鹏 1叶绪国2

作者信息

  • 1. 解放军炮兵学院数学教研室,合肥230031
  • 2. 凯里学院理学院,贵州凯里556011
  • 折叠

摘要

Abstract

In this paper, based on the theorem, we find that the product of complex positive definite matrix and Hermite positive definite matrix is complex positive definite matrix by expanding real symmetric positive definite matrix to Hermite positive definite matrix and expanding real positive definite matrix to complex positive definite matrix. Two corollaries have been introduced. These studies have definite academic value.

关键词

对称矩阵/非奇异方阵/共轭矩阵/Hadamard乘积/复方阵

Key words

symmetric matrix/nonsingular square matrix/conjugate matrix/Hadamard product/complex square matrix

分类

数理科学

引用本文复制引用

沈浮,田玉敏,王鹏,叶绪国..复矩阵的Hadamard乘积正定性[J].重庆理工大学学报(自然科学版),2011,25(6):121-123,3.

基金项目

贵州省教育厅自然科学基金资助项目(黔教科20090080) (黔教科20090080)

重庆理工大学学报(自然科学版)

OACSTPCD

1674-8425

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