Group inverses of certain nonnegative matrices

DOI10.1016/0024-3795(79)90023-5zbMath0403.15005OpenAlexW2079532836MaRDI QIDQ1256017

J. R. Wall, Emilie V. Haynsworth

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90023-5

zbMATH Keywords

Group Inverses of Nonnegative Matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21) Stochastic matrices (15B51)

Related Items

Nonnegative $\lambda $-Monotone Matrices ⋮ Generalized inverses of substochastic matrices ⋮ On Nonnegative matrices generating a finite multiplicative monoid ⋮ Nonnegative matrices having nonnegative Drazin pseudoinverses ⋮ A geometric treatment of generalized inverses and semigroups of nonnegative matrices ⋮ Group inverses of certain positive operators ⋮ Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\). ⋮ Nonnegative group inverses ⋮ Rank factorizations of positive operators ⋮ On the periodicity of the graph of nonnegative matrices ⋮ Nonnegative Matrices A Such that $Ax = b$ has Nonnegative Best Approximate Solution

Cites Work

• Generalized inverses of stochastic matrices
• Nonnegative matrices which are equal to their generalized inverse
• Nonnegative mth roots of nonnegative 0-symmetric idempotent matrices
• Matrix Group Monotonicity
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• Which Nonnegative Matrices Are Self-Inverse?
• Nonnegative matrices generating a finite cyclic group
• Unnamed Item

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