On the block independence in \(g\)-inverse and reflexive inner inverse of a partitioned matrix

DOI10.1007/s10114-005-0787-yzbMath1123.15003OpenAlexW2012924260MaRDI QIDQ2641536

Musheng Wei, Yong Hui Liu

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0787-y

zbMATH Keywords

rankblock independencemultiple quotient singular value decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

A simultaneous decomposition of a matrix triplet with applications ⋮ Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications ⋮ The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications ⋮ Representations of generalized inverses of partitioned matrix involving Schur complement

Cites Work

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• A tree of generalizations of the ordinary singular value decomposition
• On the independence of blocks of generalized inverses of bordered matrices
• On \(g\)-inverses of a bordered matrix: revisited
• Generalized Inverses of a Bordered Matrix of Operators
• Further Results on Generalized Inverses of Partitioned Matrices
• On the Block Independence in Reflexive Inner Inverse and M--P Inverse of Block Matrix

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