Characterizations of inverse \(M\)-matrices with special zero patterns

DOI10.1016/j.laa.2010.04.030zbMath1195.15037OpenAlexW2064577433MaRDI QIDQ984864

Jianzhou Liu, Rong Huang, Nung-Sing Sze

Publication date: 20 July 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.2010.04.030

zbMATH Keywords

tridiagonal matricesinverse M-matricessymmetric \(k\)-diagonal matricessymmetric 5-diagonal matricestriadic matriceszero-pattern invariant

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Sign pattern matrices (15B35)

Related Items (1)

On zero-pattern invariant properties of structured matrices

Cites Work

• On the inverse M-matrix problem for (0,1)-matrices
• Inverse M-matrices
• The inverse M-matrix problem
• Inverse \(M\)-matrix inequalities and generalized ultrametric matrices
• Generalized ultrametric matrices -- a class of inverse \(M\)-matrices
• Special Ultrametric Matrices and Graphs
• Stable Factorizations of Symmetric Tridiagonal and Triadic Matrices
• Matrix Analysis
• On the Inverse M-Matrix Problem for Real Symmetric Positive-Definite Toeplitz Matrices
• A New Class of Inverse M-Matrices of Tree-Like Type
• Inverses of Unipathic M-Matrices
• Nonnegative Matrices whose Inverses are M-Matrices
• Path Product Matrices and Eventually Inverse M‐matrices

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