A classification of matrices of class Z

DOI10.1016/0024-3795(92)90425-AzbMath0754.15016MaRDI QIDQ1194287

Thomas L. Markham, Miroslav Fiedler

Publication date: 27 September 1992

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

zbMATH Keywords

spectral radiusSchur complements\(M\)-matrices\(Z\)-matrices\(N\)-matricesSchur complement lattice

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (13)

On classes of inverse \(Z\)-matrices ⋮ Some results on a partition of \(Z\)-matrices ⋮ \(Z\)-matrices and inverse \(Z\)-matrices ⋮ On relationships between several classes of Z-matrices, M-matrices and nonnegative matrices ⋮ An iterative algorithm for computing mean first passage times of Markov chains ⋮ 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 ⋮ A primer of Perron--Frobenius theory for matrix polynomials ⋮ On characterizing Z-matrices ⋮ A Schur complement inequality for certain P-matrices ⋮ Inverse tridiagonalZ-Martices^∗ ⋮ Eigenvalue location for nonnegative and Z-matrices

Cites Work

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• Bounds on the spectrum of nonnegative matrices and certain Z-matrices
• A generalization of N-matrices
• Some matrix inequalities
• Notes on \(F_ 0\)-matrices

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