2×2分块矩阵群逆的表示

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

数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 412-421.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.010

2×2分块矩阵群逆的表示

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

收稿日期:2014-11-30 出版日期:2016-12-30 发布日期:2020-11-03
作者简介: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.
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)；

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

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

Received:2014-11-30 Online:2016-12-30 Published:2020-11-03
About author: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.
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)；

摘要/Abstract

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

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

中图分类号:

O151.21

杜法鹏. 2×2分块矩阵群逆的表示[J]. 数学季刊, 2016, 31(4): 412-421.

DU Fa-peng. Expression for the Group Inverse of the 2 ×2 Block Matrix[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 412-421.

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2×2分块矩阵群逆的表示

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

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