On zero-pattern invariant properties of structured matrices

DOI10.1016/j.laa.2011.02.013zbMath1225.15028OpenAlexW2008692007MaRDI QIDQ541952

Jianzhou Liu, Rong Huang

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.013

zbMATH Keywords

Toeplitz matrixstructured matricescirculantinverse M-matriceszero-pattern (power) invariant

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Toeplitz, Cauchy, and related matrices (15B05) Sign pattern matrices (15B35)

Related Items (1)

Idempotent sign patterns of special types

Cites Work

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• Characterizations of inverse \(M\)-matrices with special zero patterns
• The inverse M-matrix problem
• Special Ultrametric Matrices and Graphs
• Matrix Analysis
• On the Inverse M-Matrix Problem for Real Symmetric Positive-Definite Toeplitz Matrices
• A Linear Algebra Proof that the Inverse of a Strictly Ultrametric Matrix is a Strictly Diagonally Dominant Stieltjes Matrix
• A New Class of Inverse M-Matrices of Tree-Like Type
• Inverses of Unipathic M-Matrices
• Path Product Matrices and Eventually Inverse M‐matrices

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