Nonnegativity of principal minors of generalized inverses of M-matrices

DOI10.1016/0024-3795(84)90215-5zbMath0544.15009OpenAlexW2135223764MaRDI QIDQ796610

S. R. Mohan, K. G. Ramamurthy, Michael Neumann

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90215-5

zbMATH Keywords

fundamental matrixgeneralized inversesMoore-Penrose inversegroup inverseergodic Markov chainprincipal minorssingular irreducible M-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Generalized inverses with nonnegative principal minors ⋮ Some connections between the Drazin inverse, P-matrices, and the closure of inverse M-matrices ⋮ P_†-matrices: a generalization ofP-matrices ⋮ Nonnegativity of principal minors of generalized inverses of \(P_ 0\)- matrices ⋮ Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix ⋮ Minors of the Moore-Penrose inverse

Cites Work

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• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• The Index and the Drazin Inverse of Block Triangular Matrices