2×2分块矩阵群逆的表示

杜法鹏

doi:10.13371/j.cnki.chin.q.j.m.2016.04.010

数学季刊 >

2016 , Vol. 31 >Issue 4: 412 - 421

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.010

2×2分块矩阵群逆的表示

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Department of Mathematics,Southeast University, School of Mathematical and Physical Sciences,Xuzhou Institute of Technology

DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.

收稿日期: 2014-11-30

网络出版日期: 2020-11-03

基金资助

Supported by the Fund for Postdoctoral of China(2015M581688)； Supported by the National Natural Science Foundation of

China(11371089)； Supported by the Specialized Research Fund for the Doctoral Program of Higher Education(20120092110020)； Supported by the Natural Science Foundation of Jiangsu Province(BK20141327)； Supported by the Foundation of Xuzhou Institute of Technology(XKY2014207)；

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Expression for the Group Inverse of the 2 ×2 Block Matrix

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Department of Mathematics,Southeast University, School of Mathematical and Physical Sciences,Xuzhou Institute of Technology

DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.

Received date: 2014-11-30

Online published: 2020-11-03

Supported by

Supported by the Fund for Postdoctoral of China(2015M581688)； Supported by the National Natural Science Foundation of China(11371089)； Supported by the Specialized Research Fund for the Doctoral Program of Higher Education(20120092110020)； Supported by the Natural Science Foundation of Jiangsu Province(BK20141327)； Supported by the Foundation of Xuzhou Institute of Technology(XKY2014207)；

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摘要

In this paper, we present a method how to get the expression for the group inverse of 2×2 block matrix and get the explicit expressions of the block matrix (A C B D) under some conditions.

关键词： generalized inverse; group inverse; block matrix

本文引用格式

杜法鹏 . 2×2分块矩阵群逆的表示[J]. 数学季刊, 2016 , 31(4) : 412 -421 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.010

Abstract

In this paper, we present a method how to get the expression for the group inverse of 2×2 block matrix and get the explicit expressions of the block matrix (A C B D) under some conditions.

Key words： generalized inverse; group inverse; block matrix

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