On classes of inverse \(Z\)-matrices

DOI10.1016/0024-3795(95)92718-8zbMath0828.15021OpenAlexW1984210456MaRDI QIDQ1894512

Reinhard Nabben, Richard S. Varga

Publication date: 11 January 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)92718-8

zbMATH Keywords

\(M\)-matricestaxonomynonarchimedean metricdistance matrices\(p\)- adic number theoryinverse \(N_ 0\)-matricesinverse \(Z\)-matrix problemnonarchimedean matricessymmetric ultrametric matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (6)

\(Z\)-matrices and inverse \(Z\)-matrices ⋮ On relationships between several classes of Z-matrices, M-matrices and nonnegative matrices ⋮ Maximum inverse positive matrices ⋮ Geometric aspects of the symmetric inverse M-matrix problem ⋮ Inverse \(M\)-matrix, a new characterization ⋮ Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach

Cites Work

• Inverse \(N_ 0\)-matrices
• Bounds on the spectrum of nonnegative matrices and certain Z-matrices
• Some notes on Z-matrices
• Inverse M-matrices
• A generalization of N-matrices
• A classification of matrices of class Z
• An algorithm for determining if the inverse of a strictly diagonally dominant Stieltjes matrix is strictly ultrametric
• Inverse \(M\)-matrix inequalities and generalized ultrametric matrices
• Generalized ultrametric matrices -- a class of inverse \(M\)-matrices
• Some matrix inequalities
• Notes on \(F_ 0\)-matrices
• Matrix Analysis
• Linear complementarity problems solvable by A single linear program
• Inverse of Strictly Ultrametric Matrices are of Stieltjes Type
• A Linear Algebra Proof that the Inverse of a Strictly Ultrametric Matrix is a Strictly Diagonally Dominant Stieltjes Matrix
• Nonnegative Matrices whose Inverses are M-Matrices
• Diagonally dominant matrices
• Automatische Klassifikation
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