\(Z\)-matrices and inverse \(Z\)-matrices

DOI10.1016/S0024-3795(97)81111-1zbMath0874.15003MaRDI QIDQ1355225

Reinhard Nabben

Publication date: 11 November 1997

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

zbMATH Keywords

matrix inversioneigenvalue boundsdeterminant inequalitiesinverse \(Z\)-matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (8)

On relationships between several classes of Z-matrices, M-matrices and nonnegative matrices ⋮ On Perron complements of inverse \(N_{0}\)-matrices ⋮ On the second real eigenvalue of nonegative and Z-matrices ⋮ Classes of general \(H\)-matrices ⋮ Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices ⋮ Matrices whose inverses are generalizedM-matrices ⋮ Inverse tridiagonalZ-Martices^∗ ⋮ Eigenvalue location for nonnegative and Z-matrices

Cites Work

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• On the second real eigenvalue of nonegative and Z-matrices
• 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
• Generalized ultrametric matrices -- a class of inverse \(M\)-matrices
• On classes of inverse \(Z\)-matrices
• Some results on a partition of \(Z\)-matrices
• Some matrix inequalities
• Notes on \(F_ 0\)-matrices
• Matrix Analysis
• 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

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