On the spectral properties of \(M\)-matrices and its applications

DOI10.1007/BF02684043zbMath1012.15014MaRDI QIDQ1864224

Wen Li, Sun, Weiwei

Publication date: 17 March 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

\(M\)-matrixnonnegative matrixiterative methodssplittingsingular graphreduced graph\(Z\)-matrixlevel diagram

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)

Cites Work

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• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• A product index theorem with applications to splittings of \(M\)-matrices
• Theorems on M-splittings of a singular M-Matrix which depend on graph structure
• Predecessor property, full combinatorial column rank, and the height characteristic of an \(M\)-matrix

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