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The Moore–Penrose inverse of particular bordered matrices

Part of: Basic linear algebra

Published online by Cambridge University Press:  09 April 2009

Frank J. Hall
Frank J. Hall*
Affiliation:
Department of MathematicsPembroke State UniversityPembroke, North Carolina 28372, U.S.A.
*
Author's current address: Department of Mathematics Georgia State University Atlanta, Georgia 30303 U.S.A.
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Abstract

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The 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.

MSC classification

Secondary: 15A09: Matrix inversion, generalized inverses 15A21: Canonical forms, reductions, classification
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 4 , June 1979 , pp. 467 - 478
Copyright
Copyright © Australian Mathematical Society 1979

References

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