On Green's Matrices of Trees

DOI10.1137/S0895479899365732zbMath0982.15007OpenAlexW2008142267MaRDI QIDQ2706303

Reinhard Nabben

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479899365732

zbMATH Keywords

Hadamard productsparse matricestreesirreducibleinversestridiagonal matricesgraphs and matricesacyclic matricesGreen's matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10)

Related Items (6)

Potentials of random walks on trees ⋮ Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation ⋮ A Class ofM-matrices whose Graphs are Trees ⋮ On the sign patterns of the smallest signless Laplacian eigenvector ⋮ Factoring matrices with a tree-structured sparsity pattern ⋮ Inverse \(M\)-matrix, a new characterization

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