Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 4: 38 - 43

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.04.005

Expressions on generalized inverses of the Schur complement of a 2×2 block matrix

  • GUO Mei-hua ,
  • LIU Ding-you
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  • School of Mathematics and Statistics, Wuhan UniversityWuhan 430000, China

Received date: 2015-06-04

  Online published: 2016-09-29

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Abstract

This article investigates various expressions for the generalized inverses of the Schur complement S = A − BD−C of a 2 × 2 block matrix M =
A B
C D
!
under different conditions. Moreover, we give some new results for the generalized inverses of the Schur complement when M is positive semidefinite. Besides, some conclusions are obtained directly from our results.

Key words： 2 ×; 2 block matrix; generalized inverse; Schur complement

Cite this article

GUO Mei-hua , LIU Ding-you . Expressions on generalized inverses of the Schur complement of a 2×2 block matrix[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(4) : 38 -43 . DOI: 10.3969/j.issn.1000-5641.2016.04.005

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