Some results on a partition of \(Z\)-matrices

DOI10.1016/0024-3795(94)00168-DzbMath0829.15011MaRDI QIDQ1894516

Ronald L. Smith

Publication date: 24 January 1996

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

zbMATH Keywords

partitionspectral radiusSchur complements\(Z\)-matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

\(Z\)-matrices and inverse \(Z\)-matrices ⋮ Minimum eigenvalue inequalities for \(Z\)-transformations on proper and symmetric cones ⋮ Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices ⋮ On characterizing Z-matrices ⋮ Inverse tridiagonalZ-Martices^∗ ⋮ Eigenvalue location for nonnegative and Z-matrices

Cites Work

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• Some notes on Z-matrices
• Inverse M-matrices
• A generalization of N-matrices
• A classification of matrices of class Z
• The Schur complement of a generalized M-matrix
• Notes on \(F_ 0\)-matrices
• Nonnegative Matrices whose Inverses are M-Matrices
• An Identity for the Schur Complement of a Matrix

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