Reverse order law for least squares g-inverses of multiple matrix products

DOI10.1080/03081080701340547zbMath1152.15006OpenAlexW2009133679MaRDI QIDQ3521117

Qiaohua Liu, Musheng Wei

Publication date: 27 August 2008

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080701340547

zbMATH Keywords

reverse order lawleast squares \(g\)-inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (6)

On the product of projectors and generalized inverses ⋮ Reverse order law for generalized inverses of multiple operator product ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products ⋮ 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

Cites Work

• A tree of generalizations of the ordinary singular value decomposition
• The reverse order law revisited
• Reverse order law for reflexive generalized inverses of products of matrices
• When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
• Reverse order laws for the generalized inverses of multiple matrix products
• Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
• Equivalent conditions for generalized inverses of products
• Reverse order laws for generalized inverses of multiple matrix products
• Note on the Generalized Inverse of a Matrix Product

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