Mv-matrices: a generalization of M-matrices based on eventually nonnegative matrices

DOI10.13001/1081-3810.1317zbMath1189.15040OpenAlexW2143043243MaRDI QIDQ3559044

Pauline van den Driessche, Michael J. Tsatsomeros, D. Dale Olesky

Publication date: 11 May 2010

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223987

zbMATH Keywords

monotonicitydiagonal dominanceM-matrixPerron-Frobenius theoremeventually nonnegative matrixexponentially nonnegative matrixsemipositivityinverse nonnegativity

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (13)

Minimal eventually positive realizations of externally positive systems ⋮ Positivity for non-Metzler systems and its applications to stability of time-varying delay systems ⋮ Eventually and asymptotically positive semigroups on Banach lattices ⋮ Eventually SDD matrices and eigenvalue localization ⋮ On limits of powers of certain absolutely row-stochastic matrices ⋮ Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse \(A_{T,S}^{(2)}\) ⋮ Iterative Method for Linear System with Coefficient Matrix as an $$M_\vee $$ M ∨ -matrix ⋮ Towards a Perron-Frobenius theory for eventually positive operators ⋮ On sector stability of opinion dynamics with stubborn extremists ⋮ Unnamed Item ⋮ THE ROLE OF DOMINATION AND SMOOTHING CONDITIONS IN THE THEORY OF EVENTUALLY POSITIVE SEMIGROUPS ⋮ Singular \(M\)-matrices which may not have a nonnegative generalized inverse ⋮ On some generalized inverses of M_∨-matrices

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