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)；

CLC Number:

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.

[1]	ZENG Min, YUAN Yong-xin. The Explicit Formula for the Moore-Penrose Inverse of a 2×2 Block Matrix [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 401-409.
[2]	ZHANG Qian, YUAN Yong-xin. A New Method for A Rank Subtractivity Formula [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(1): 68-72.
[3]	DU Fa-peng, XUE Yi-feng. Unified Approach to the Expression for the Moore-Penrose Inverse of a ¡ xy* [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 465-474.
[4]	WANG Shi-heng. Rank Equalities for Anti-involutory Matrices [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 311-316.
[5]	ZHANG Jin-ou, CEN Jian-miao. On Matrix Γ_α-group Inverse and Γα-sharp Ordering [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 215-221.

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