The Moore-Penrose inverse of matrices with an acyclic bipartite graph

DOI10.1016/j.laa.2004.04.007zbMath1059.15012OpenAlexW2089930092MaRDI QIDQ1886523

D. Dale Olesky, Pauline van den Driessche, Thomas Britz

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.007

zbMATH Keywords

bipartite graphmatchinggeneralized inverseMoore-Penrose inversesign patternMinimally strongly connected digraphnearly reducible matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items

Unnamed Item ⋮ Ray pattern of Drazin inverses of some matrices ⋮ Group inverses of a class of corona networks ⋮ Unnamed Item ⋮ A generalization of the Moore-Penrose inverse related to matrix subspaces of \(\mathbb C^{n\times m}\) ⋮ Moore-Penrose inverse of the incidence matrix of a distance regular graph ⋮ Unnamed Item ⋮ On matrices whose Moore-Penrose inverses are ray unique ⋮ The Moore-Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs

Cites Work

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• When the sign pattern of a square matrix determines uniquely the sign pattern of its inverse
• A graph theoretic approach to matrix inversion by partitioning
• Structure of a nonnegative regular matrix and its generalized inverses
• Matrices with signed generalized inverses
• Generalized inverses. Theory and applications.
• A special class of irreducible matrices. The nearly reducible matrices
• Matrices, Digraphs, and Determinants
• Matrices with Special Sign Patterns of Signed Generalized Inverses
• The Moore of the Moore-Penrose inverse
• Least Squares Sign-Solvability
• A Simplified Form for Nearly Reducible and Nearly Decomposable Matrices