Mixed-type reverse order law of \((AB)^{(13)}\)

DOI10.1016/j.laa.2008.07.022zbMath1160.15008OpenAlexW1967987070MaRDI QIDQ1002271

Musheng Wei, Zhi-Gang Jia, Ming-hui Wang

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.022

zbMATH Keywords

mixed-type reverse-order law\(\{1, 3\}\)-inverseextremal rank relationP-singular value decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

Further results on the reverse order law for \(\{1,3\}\)-inverse and \(\{1,4\}\)-inverse of a matrix product ⋮ Reverse order laws in \(C^{*}\)-algebras ⋮ The reverse order law for \(\{1, 3, 4\}\)-inverse of the product of two matrices ⋮ 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 ⋮ Mixed-type reverse-order laws of \((AB)^{(1,2,3)}\) and \((AB)^{(1,2,4)}\) ⋮ On the mixed-type generalized inverses of the products of two operators

Cites Work

• Unnamed Item
• Further results on the reverse-order law
• On pseudoinverses of operator products
• The product of operators with closed range and an extension of the reverse order law
• The reverse order law \((AB)^-\) = \(B^-A^-\)
• 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
• Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products.
• On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• Reverse order laws for generalized inverses of multiple matrix products
• More on maximal and minimal ranks of Schur complements with applications
• Computing the Singular Value Decomposition of a Product of Two Matrices
• Note on the Generalized Inverse of a Matrix Product

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