Generalized inverses of symmetric \(M\)-matrices

DOI10.1016/j.laa.2009.11.008zbMath1195.15004OpenAlexW1976719908MaRDI QIDQ962134

Enrique Bendito, Andrés M. Encinas, Margarida Mitjana, Ángeles Carmona

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.008

zbMATH Keywords

Schrödinger operator\(M\)-matrixgeneralized inversesequilibrium measurecirculant matricespositive eigenvectortriangular matricesGreen kernelpositive eigenfunctiondiscrete Potential Theorysingular irreducible symmetric \(M\)-matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (10)

Boundary Value Problems on Finite Networks ⋮ The \(M\)-matrix group inverse problem for distance-biregular graphs ⋮ Eigenvalues with respect to a weight for general boundary value problems on networks ⋮ The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices ⋮ The inverses of some circulant matrices ⋮ The Moore-Penrose inverse of symmetric matrices with nontrivial equitable partitions ⋮ Unnamed Item ⋮ Green operators of networks with a new vertex ⋮ Perturbations of discrete elliptic operators ⋮ Distance–regular graphs having theM-property

Cites Work

• Characterization of symmetric \(M\)-matrices as resistive inverses
• Inversion of a tridiagonal Jacobi matrix
• \(M\)-matrix generalized inverses of \(M\)-matrices
• Discrete Green's functions
• Generalized inverses. Theory and applications.
• Solving Dirichlet and Poisson problems on graphs by means of equilibrium measures
• Nonnegative alternating circulants leading to \(M\)-matrix group inverses
• Solving boundary value problems on networks using equilibrium measures
• Potential theory for Schrödinger operators on finite networks
• The perturbed laplacian matrix of a graph
• The M-Matrix Group Generalized Inverse Problem for Weighted Trees
• Group generalized inverses of M-matrices associated with periodic and nonperiodic jacobi matrices
• Generalized inverse of the Laplacian matrix and some applications

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