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矩阵方程AXB＋CXTD=E的可解性
  • 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]德州学院数学系,山东德州253023
  • 相关基金：国家自然科学基金资助项目（11071079;10971070）;德州学院人才引进项目（12RC05）
作者： 赵琳琳[1]
关键词： 矩阵方程, 可解, 对称矩阵, 斜对称矩阵, matrix equation , solvability , symmetric matrix , skew-symmetric matrix
中文摘要：

利用矩阵的广义逆研究了矩阵方程AXB＋CXTD=E的可解性，得到了若干可解的条件以及解的一般表达式。

英文摘要：

The problem for the solvability of the matrix equation AXB ＋ CXTD = E is considered by using the Moore-- Penrose generalized inverse of the matrix. Some solvability conditions and a general solution to this equation are ob- tained.

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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:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘
  • 被引量:6243