华东师范大学学报(自然科学版)

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部分矩阵逆的填充

赵琳琳,  张立华,  闫立梅   

  1. 德州学院 数学科学学院, 山东 德州 253023
  • 收稿日期:2015-11-04 出版日期:2016-11-25 发布日期:2017-01-13
  • 通讯作者: 赵琳琳, 女, 博士, 讲师，研究方向为数值代数. E-mail:zhaolinlin0635@163.com.
  • 基金资助:

    山东省高等学校科研发展计划项目(J13LI53)

Inverse completion for partial matrices

ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei   

  1. College of Mathematical Sciences, Dezhou University, Dezhou Shandong 253023, China
  • Received:2015-11-04 Online:2016-11-25 Published:2017-01-13

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摘要：

利用秩理论和矩阵的广义逆研究了部分矩阵的两类逆的填充问题. 给出了两类逆的填充问题有解的充分必要条件以及解的表示.

关键词: 矩阵填充, 块矩阵, 值域, 核

Abstract:

Two kinds of inverse completion problems for partial matrices were studied by using the rank theory and the Moore-Penrose generalized inverse. Necessary and sufficient conditions for these problems to have a solution were determined and their complete solutions were presented.

Key words: matrix completion, block matrix, range, kernel