Graphical description of group inverses of certain bipartite matrices

DOI10.1016/j.laa.2009.07.025zbMath1184.15004OpenAlexW1989044121MaRDI QIDQ1044582

Minerva Catral, D. Dale Olesky, Pauline van den Driessche

Publication date: 18 December 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.2009.07.025

zbMATH Keywords

nonnegative matrixgroup inversebroom graphbipartite matrixsigned group inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

Group inverse for block matrices and some related sign analysis ⋮ Group inverses of adjacency matrices of cycles, wheels and brooms ⋮ New representations of the group inverse of \(2 \times 2\) block matrices ⋮ Ray pattern of Drazin inverses of some matrices ⋮ Group inverses of a class of corona networks ⋮ Some block matrices with signed Drazin inverses ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On matrices whose Moore-Penrose inverses are ray unique ⋮ On block triangular matrices with signed Drazin inverse ⋮ Some results on the Drazin inverse of anti-triangular matrices

Cites Work

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• Matrices with signed generalized inverses
• Generalized inverses. Theory and applications.
• On determinantal representation for the generalized inverseA(2)T,S and its applications
• Block representations of the Drazin inverse of a bipartite matrix
• Matrices, Digraphs, and Determinants
• Group inverses of matrices with path graphs

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