The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices

DOI10.1016/j.laa.2011.06.044zbMath1236.15008OpenAlexW1986865901MaRDI QIDQ665931

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

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.044

zbMATH Keywords

\(M\)-matrixLaplacianMoore-Penrose inversesingular and symmetric Jacobi \(M\)-matrixtridiagonal-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (8)

Potential theory on finite networks ⋮ The Kirchhoff index of unicycle weighted chains ⋮ Boundary Value Problems on Finite Networks ⋮ The \(M\)-matrix group inverse problem for distance-biregular graphs ⋮ Unnamed Item ⋮ A combinatorial expression for the group inverse of symmetric \(M\)-matrices ⋮ Green matrices associated with generalized linear polyominoes ⋮ Inverse \(M\)-matrix, a new characterization

Cites Work

• Unnamed Item
• Generalized inverses of symmetric \(M\)-matrices
• \(M\)-matrix generalized inverses of \(M\)-matrices
• Discrete Green's functions
• Nonnegative alternating circulants leading to \(M\)-matrix group inverses
• Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems
• The perturbed laplacian matrix of a graph
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• Group generalized inverses of M-matrices associated with periodic and nonperiodic jacobi matrices

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