Singular M-matrices and inverse positivity

DOI10.1016/0024-3795(78)90065-4zbMath0411.15006OpenAlexW2022587566MaRDI QIDQ1259642

Carl D. jun. Meyer, Michael W. Stadelmaier

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90065-4

zbMATH Keywords

spectral radiussingular M-matrixinverse positivityDrazin generalized inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Strong stability with impact of maturation delay and diffusion on a toxin producing phytoplankton-zooplankton model, On the structure of continuum thermodynamical diffusion fluxes -- a novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach, Resolvent expansions of matrices and applications, Nonnegative matrices with power invariant zero patterns, The eigenvectors corresponding to the second eigenvalue of the google matrix and their relation to link spamming, The sharpness of a lower bound on the algebraic connectivity for maximal graphs, The Perron generalized eigenspace and the spectral cone of a cone-preserving map, Stability and dissipativity theory for discrete-time non-negative and compartmental dynamical systems, Linear stability of delayed reaction-diffusion systems, Generalized inverse-positivity and splittings of M-matrices, MP matrices, Theory and applications of matrix perturbations, with respect to Hankel matrices and power formulae, M-matrix characterization II: GeneralM-matrices, Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems, Nonnegativity of principal minors of generalized inverses of M-matrices, Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix, Forest matrices around the Laplacian matrix

Cites Work

• Unnamed Item
• Unnamed Item
• M-matrix characterizations. I: nonsingular M-matrices
• M-matrices leading to semiconvergent splittings
• Generalized inverse-positivity and splittings of M-matrices
• Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory
• Limits and the Index of a Square Matrix