Some identities for Moore-Penrose inverses of matrix products

A group of identities are established for the Moore-Penrose inverses and the weighted Moore-Penrose inverses of matrix products AB and ABC. Some consequences and applications are also presented.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 52; no. 6; pp. 405 - 420
Main Authors Tian, Yongge, Cheng †, Shizhen
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.11.2004
Subjects
AMS Subject Classifications: 15A09
Drazin inverse
Identity
Matrix product
Moore-Penrose inverse
Reverse order law
Weighted Moore-Penrose inverse
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Summary:A group of identities are established for the Moore-Penrose inverses and the weighted Moore-Penrose inverses of matrix products AB and ABC. Some consequences and applications are also presented.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081080410001699334