A new characterization of inverse-positive matrices

DOI10.1016/0024-3795(91)90372-4zbMath0734.15008OpenAlexW2086604844MaRDI QIDQ810610

Josep E. Peris

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90372-4

zbMATH Keywords

Z-matrixPerron-Frobenius theoreminverse-positive matricespositive splitting

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (12)

Linear joint-production models ⋮ Interval Drazin monotonicity of matrices ⋮ Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings ⋮ \(B_D\)-splittings of matrices ⋮ Some results about inverse-positive matrices ⋮ Sign patterns of inverse doubly-nonnegative matrices ⋮ A characterization of weak-monotone matrices ⋮ Nonnegative Moore--Penrose inverses of operators over Hilbert spaces ⋮ Comparisons ofB_row-splittings andB_ran-splittings of matrices ⋮ Comparison theorems for a subclass of proper splittings of matrices ⋮ A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators ⋮ Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences

Cites Work

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• Lineare Operatoren mit positiver Inversen
• Sign patterns of inverse nonnegative matrices
• Sign patterns of inverse-positive matrices
• Perron-Frobenius properties of \(Ax-\lambda Bx\)
• Aufgaben monotoner Art
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
• Monotone and Oscillation Matrices Applied to Finite Difference Approximations

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