From Boolean to sign pattern matrices

DOI10.1016/j.laa.2004.08.005zbMath1062.15011OpenAlexW2017261660MaRDI QIDQ703635

Bhaskara Rao, Frank J. Hall, Zhongshan Li

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.005

zbMATH Keywords

idempotentsgeneralized inversesBoolean rankBoolean matrixminimum ranknonnegative sign pattern matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Boolean functions (06E30) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (7)

Essential sign change numbers of full sign pattern matrices ⋮ Ray pattern of Drazin inverses of some matrices ⋮ Tan's epsilon-determinant and ranks of matrices over semirings ⋮ Minimum (maximum) rank of sign pattern tensors and sign nonsingular tensors ⋮ Minimum ranks of sign patterns and zero-nonzero patterns and point-hyperplane configurations ⋮ Rational realizations of the minimum rank of a sign pattern matrix ⋮ Sign patterns with minimum rank 2 and upper bounds on minimum ranks

Cites Work

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• Idempotence for sign-pattern matrices
• On generalized inverses of Boolean matrices
• Sign pattern matrices and generalized inverses
• Generalized inverses. Theory and applications.
• A geometric treatment of non-negative generalized inverses
• Inverses of nonnegative matrices
• The Generalized Inverse of a Nonnegative Matrix

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