Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields

DOI10.1080/03081080903092243zbMath1204.15010OpenAlexW2040327500MaRDI QIDQ3060026

Jiemei Zhao, Changjiang Bu, Kuize Zhang

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1080/03081080903092243

zbMATH Keywords

Drazin inversegroup inverseskew fieldblock matrixcentre

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (14)

Group inverse for block matrices and some related sign analysis ⋮ A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ On the group invertibility of operators ⋮ New representations of the group inverse of \(2 \times 2\) block matrices ⋮ Further results on the group inverses and Drazin inverses of anti-triangular block matrices ⋮ Representations for the group inverse of anti-triangular block operator matrices ⋮ ON THE GROUP INVERSE FOR THE SUM OF MATRICES ⋮ A note on the group inverses of block matrices over rings ⋮ A note on the group inverse of some \(2 \times 2\) block matrices over skew fields ⋮ Group inverse for block matrix with \(t\)-potent subblock ⋮ Group inverse for a class of \(2\times 2\) anti-triangular block matrices over skew fields ⋮ Group inverse for two classes of \(2\times 2\) block matrices over rings ⋮ The group invertibility of the product of two matrices over ring and its applications ⋮ Further results on the group inverse of some anti-triangular block matrices

Cites Work

• On group inverse of singular Toeplitz matrices
• Representations of the Drazin inverse for a class of block matrices
• Group inverse for a class \(2\times 2\) block matrices over skew fields
• A Note on Preconditioning Nonsymmetric Matrices
• Representations of the group inverse of some 2 x 2 block matrices
• The Drazln inverse and systems of second order linear differential equations
• The Index and the Drazin Inverse of Block Triangular Matrices
• On Solving Block-Structured Indefinite Linear Systems

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