Eigenvalue location for nonnegative and Z-matrices

DOI10.1016/S0024-3795(97)10081-7zbMath0946.15013MaRDI QIDQ1307534

Shaun M. Fallat, Charles R. Johnson, Ronald L. Smith, Pauline van den Driessche

Publication date: 22 October 2000

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

zbMATH Keywords

nonnegative matricesnegative eigenvalues\(Z\)-matrixeigenvalue location

Mathematics Subject Classification ID

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

Cites Work

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• Bounds on the spectrum of nonnegative matrices and certain Z-matrices
• A generalization of N-matrices
• A classification of matrices of class Z
• Spectra with positive elementary symmetric functions
• On the spectra of \(P\)- and \(P_ 0\)-matrices
• \(Z\)-matrices and inverse \(Z\)-matrices
• Some results on a partition of \(Z\)-matrices
• Notes on \(F_ 0\)-matrices