Some properties of GM-matrices and their inverses

DOI10.1016/0024-3795(88)90247-9zbMath0659.15021OpenAlexW1990038414MaRDI QIDQ1112140

John S. Maybee, Daniel J. Richman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90247-9

zbMATH Keywords

stabilitycycleinverseirreduciblequalitative matrixprincipal minorsstructuredegenerateM-matricessigned digraphZ-matricesL-matrixconsistently signedGM-matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21)

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Cites Work

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• Qualitatively invertible matrices
• Rectangular Matrices and Signed Graphs