关于矩阵方程AXB=C的广义Hermitian非负定解

关于矩阵方程AXB=C的广义Hermitian非负定解

论文摘要

给出了矩阵方程AXB=C存在广义Hermitian非负定解的一个充要条件,推导出了其表达式,并将此结果应用到两个实例上.通过比较新旧两种方法得出的广义Hermitian非负定解,指出了已有结果的错误性.同时给出了两个矩阵二次型随机独立的一般协方差结构.

论文目录

  • 1 预备知识
  • 2 广义Hermitian非负定解
  • 3 两个例子
  • 文章来源

    类型: 期刊论文

    作者: 邓勇

    关键词: 矩阵方程,广义逆矩阵,平行可加矩阵,对称系统

    来源: 东北师大学报(自然科学版) 2019年03期

    年度: 2019

    分类: 基础科学

    专业: 数学

    单位: 喀什大学数学与统计学院

    基金: 新疆维吾尔自治区自然科学基金资助项目(2016D01A014)

    分类号: O151.21

    DOI: 10.16163/j.cnki.22-1123/n.2019.03.003

    页码: 10-14

    总页数: 5

    文件大小: 176K

    下载量: 81

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