The Moore–Penrose inverse of particular bordered matrices-Reference-Cited by-同舟云学术

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The Moore–Penrose inverse of particular bordered matrices

Published:1979-06 Issue:4 Volume:27 Page:467-478
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Hall Frank J.

Abstract

AbstractThe Moore-Penrose inverse of a general bordered matrix is found under various conditions. The Moore-Penrose inverses obtained by Hall and Hartwig (1976) are shown to be special cases of these more general results.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. The Moore–Penrose inverse of a partitioned matrix;Hung;Czechoslovak Math. J.,1975

2. The Moore-Penrose inverse of a partitioned matrix M=(ADBC)

3. Block generalized inverses

4. Generalized Inverse Formulas Using the Schur Complement

5. Further Results on Generalized Inverses of Partitioned Matrices

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New representations of the Moore–Penrose inverse of2×2block matrices;Linear Algebra and its Applications;2014-09

2. Representations of generalized inverses of partitioned matrix involving Schur complement;Applied Mathematics and Computation;2013-05

3. New Representations of the Group Inverse of2×2Block Matrices;Journal of Applied Mathematics;2013

4. Eight expressions for generalized inverses of a bordered matrix;Linear and Multilinear Algebra;2010-02

5. Inverses of 2 × 2 block matrices;Computers & Mathematics with Applications;2002-01

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