Group inverse for the block matrices with an invertible subblock

DOI10.1016/j.amc.2009.04.054zbMath1181.15003OpenAlexW2093438987MaRDI QIDQ732457

Kuize Zhang, Min Li, Changjiang Bu, Lan Zheng

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.054

zbMATH Keywords

group inverseskew field\(\{1\}\)-inverseinvertible subblock

Mathematics Subject Classification ID

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

Related Items (18)

Group inverse for block matrices and some related sign analysis ⋮ On the group invertibility of operators ⋮ New representations of the group inverse of \(2 \times 2\) block matrices ⋮ On the Drazin inverse of an anti-triangular block matrix ⋮ Resistance distance of generalized wheel and dumbbell graph using symmetric {1}-inverse of Laplacian matrix ⋮ Group inverses of matrices over right Ore domains ⋮ The group inverse of \(2 \times 2\) matrices over a ring ⋮ Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement ⋮ ON THE GROUP INVERSE FOR THE SUM OF MATRICES ⋮ A note on the group inverses of block matrices over rings ⋮ Group inverses for some \(2 \times 2\) block matrices over rings ⋮ Group invertible block matrices ⋮ 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 existence and representation of the Drazin inverse of a 2 × 2 block matrix over a ring ⋮ The group inverse of the combinations of two idempotent operators

Cites Work

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• Group inverse for a class \(2\times 2\) block matrices over skew fields
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• The Drazln inverse and systems of second order linear differential equations
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• Expressions for the drazin inverse of a 2×2 Block Matrix
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix

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