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The M-Matrix Group Generalized Inverse Problem for Weighted Trees

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Publication:4389071
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DOI10.1137/S0895479896304927zbMath0905.05049MaRDI QIDQ4389071

Michael Neumann, Stephen J. Kirkland

Publication date: 11 May 1998

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


zbMATH Keywords

Laplacian matrixweighted treeimpedance matrix


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)


Related Items (10)

Boundary Value Problems on Finite Networks ⋮ The \(M\)-matrix group inverse problem for distance-biregular graphs ⋮ Discrete elliptic operators and their Green operators ⋮ Representations for the group inverse of anti-triangular block operator matrices ⋮ Unnamed Item ⋮ Matrices whose group inverses are \(M\)-matrices ⋮ Generalized inverses of symmetric \(M\)-matrices ⋮ Resistance distances in extended or contracted networks ⋮ Characterization of symmetric \(M\)-matrices as resistive inverses ⋮ Resistance distance and Kirchhoff index of \(R\)-vertex join and \(R\)-edge join of two graphs




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