The Moore-Penrose inverse for sums of matrices under rank additivity conditions

Some results on the Moore-Penrose inverse for sums of matrices under rank additivity conditions are revisited and some new consequences are presented. Their extensions to the weighted Moore-Penrose inverse of sums of matrices under rank additivity conditions are also considered.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 53; no. 1; pp. 45 - 65
Main Author Tian, Yongge
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.2005
Subjects
AMS Subject Classifications: 15A03
Moore-Penrose inverse
Rank additivity
Sum of matrices
Weighted Moore-Penrose inverse
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Summary:Some results on the Moore-Penrose inverse for sums of matrices under rank additivity conditions are revisited and some new consequences are presented. Their extensions to the weighted Moore-Penrose inverse of sums of matrices under rank additivity conditions are also considered.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081080410001714697