The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products
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Publication:3589210
DOI10.1080/03081080903027777zbMath1202.15010OpenAlexW2016838730MaRDI QIDQ3589210
Publication date: 20 September 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080903027777
matrix productgeneralized inversegeneralized Schur complementmaximal and minimal ranksreverse order law
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (8)
Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces ⋮ Reverse order laws for the weighted generalized inverses ⋮ Reverse order law for generalized inverses of multiple operator product ⋮ A note on the reverse order law for least squareg-inverse of operator product ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ The forward order laws for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of multiple matrix products ⋮ An invariance property related to the mixed-type reverse order laws ⋮ The forward order laws for {1,2,3}- and {1,2,4}-inverses of a three matrix products
Cites Work
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- Further Results on the Reverse Order Law for Generalized Inverses
- Inverse Order Rule for Weighted Generalized Inverse
- Note on the Generalized Inverse of a Matrix Product
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