广东工业大学学报 ›› 2012, Vol. 29 ›› Issue (2): 72-75.doi: 10.3969/j.issn.1007-7162.2012.02.014

• 综合研究 • 上一篇    下一篇

列分块矩阵的MoorePenrose逆

  

  1. 1．广东工业大学 应用数学学院, 广东 广州 510520；2．浙江财经学院 数学与统计学院，浙江 杭州 310018
  • 出版日期:2012-06-25 发布日期:2012-06-25
  • 作者简介:邱红兵（1974-），男，副教授，主要研究方向为线性模型、矩阵分析.
  • 基金资助:

    国家自然科学基金资助项目(11171058)；浙江省自然科学基金资助项目(Y6110615)；国家社会科学基金资助项目(11CTJ008)

The Moore-Penrose Inverse of Column Partitioned Matrix

  1. 1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China;
    2.Mathematics and Statistics School, Zhejiang University of Finance and Economics, Hangzhou 310018, China
  • Online:2012-06-25 Published:2012-06-25

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摘要： 利用矩阵分块，给出了求一般矩阵MoorePenrose逆的一种新方法，且新方法只需利用矩阵的初等变换即可实现.

关键词: 列分块矩阵；广义逆；转置；MoorePenrose逆；初等变换

Abstract: A new method of solving the MoorPenrose inverse of a matrix with partitioned matrix is given, and the method can be realized only with the elementary transformation of matrix.

Key words: column partitioned matrix; generalized inverse; transposition; MoorePenrose inverse; elementary transformation

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