Some mixed-type reverse-order laws for the Moore-Penrose inverse of a triple matrix product

DOI10.1216/rmjm/1187453116zbMath1152.15007OpenAlexW2044486403MaRDI QIDQ2478029

Yongge Tian

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1187453116

zbMATH Keywords

matrix productmatrix rank methodMoore-Penrose inverse of matrixmixed-type reverse-order lawrank equalitiesrange equalitiesouter inverse of matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (8)

Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product ⋮ Reverse order law of Drazin inverse for bounded linear operators ⋮ Two groups of mixed reverse order laws for generalized inverses of two and three matrix products ⋮ Characterizations of the group invertibility of a matrix revisited ⋮ Reverse order law in \(C^{\ast }\)-algebras ⋮ Mixed-type reverse order law for products of three operators ⋮ Mixed-type reverse order law, ternary powers and functional calculus ⋮ Developing reverse order law for the Moore-Penrose inverse with the product of three linear operators

Cites Work

• The reverse order law revisited
• Reverse order laws for the generalized inverses of multiple matrix 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
• About the group inverse and Moore-Penrose inverse of a product
• Rank equalities related to outer inverses of matrices and applications
• Some identities for Moore–Penrose inverses of matrix products
• An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex Matrix
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