The Explicit Formula for the Moore-Penrose Inverse of a 2×2 Block Matrix

doi:10.13371/j.cnki.chin.q.j.m.2023.04.007

Chinese Quarterly Journal of Mathematics ›› 2023, Vol. 38 ›› Issue (4): 401-409.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.007

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The Explicit Formula for the Moore-Penrose Inverse of a 2×2 Block Matrix

School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China

Received:2022-05-10 Online:2023-12-30 Published:2023-12-30
Contact: YUAN Yong-xin (1966-), male, native of Zhenjiang, Jiangsu, professor of Hubei Normal University, engages in computational mathematics. E-mail:yuanyx 703@163.com
About author:ZENG Min (1999-), female, native of Jingzhou, Hubei, postgraduate student of Hubei Normal University, engages in computational mathematics; YUAN Yong-xin (1966-), male, native of Zhenjiang, Jiangsu, professor of Hubei Normal University, engages in computational mathematics.

Abstract

CLC Number:

O241.6

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.

[1]	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.
[2]	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.
[3]	DU Fa-peng, XUE Yi-feng. The Reverse Order Law for Moore-Penrose Inverse of Closed Operators [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 139-146.
[4]	YUAN Gong-lin, WEI Zeng-cin , LU Xi-wen. A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 574-584.
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[6]	TANG Rong-rong. A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 117-120.

The Explicit Formula for the Moore-Penrose Inverse of a 2×2 Block Matrix

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