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矩阵方程AXA^T=B的对称反自反最小二乘解
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O151.21[理学—数学;理学—基础数学]
  • 作者机构：[1]华东师范大学数学系,上海200241, [2]聊城大学数学科学学院,山东聊城252059
  • 相关基金：国家自然科学基金资助项目（10901056;11071079）;上海市自然科学基金资助项目（09ZR1408700）
作者： 赵琳琳[1], 陈果良[1], 赵建立[2]
关键词： 矩阵方程, 最小二乘解, 标准相关分解, matrix equation, least squares solution, canonical correlation decomposition
中文摘要：

给定对称正交矩阵P，利用矩阵的标准相关分解，研究了矩阵方程AXA^T=B的对称反自反最小二乘解，得到了最小二乘解的一般表达式。

英文摘要：

By applying the canonical correlation decomposition of matrix pairs, the general expression of the least squares symmetric anti-reflexive solution with a given symmetric orthogonal matrix P of the matrix equation AXA^T=B is obtained.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
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  • 被引量:6243