Spectra with positive elementary symmetric functions

DOI10.1016/0024-3795(93)90535-VzbMath0778.15006OpenAlexW2035095781MaRDI QIDQ1210401

Charles R. Johnson, Michael J. Tsatsomeros, D. Dale Olesky, Pauline van den Driessche

Publication date: 8 August 1993

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90535-v

zbMATH Keywords

cycleeigenvaluescharacteristic polynomialscounterexampleroots of polynomialsdirected graphelementary symmetric functionspositive sign-stable matrixqualitative \(P\)-matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Stability and convex hulls of matrix powers ⋮ Spectra and inverse sign patterns of nearly sign-nonsingular matrices ⋮ Sign-patterns which require a positive eigenvalue ⋮ Eigenvalue location for nonnegative and Z-matrices

Cites Work

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• Localization of the spectra of \(P\)- and \(P_0\)-matrices
• On the spectra of matrices having nonnegative sums of principal minors
• Spectra of matrices with P-matrix powers
• An inclusion region for the field of values of a doubly stochastic matrix based on its graph
• Complex eigenvalues of a non-negative matrix with a specified graph
• On the spectra of \(P\)- and \(P_ 0\)-matrices
• On complex eigenvalues of M and P matrices
• Matrix Diagonal Stability and Its Implications
• Matrices, Digraphs, and Determinants
• Sign patterns that require real, nonreal or pure imaginary eigenvalues
• Complex eigenvalues of a non-negative matrix with a specified graph II
• A Generalization of a Theorem of Bôcher
• Qualitative Problems in Matrix Theory

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