Not all GKK \(\tau\)-matrices are stable

DOI10.1016/S0024-3795(99)00002-6zbMath0968.15014arXivmath/0512586OpenAlexW1990062276MaRDI QIDQ1300858

O. V. Holtz

Publication date: 12 September 2001

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

Full work available at URL: https://arxiv.org/abs/math/0512586

zbMATH Keywords

P-matrixGKK matrix\(\omega\)-matrix\(\tau\)-matrixpositive stable matrixToeplitz Hessenberg matricesweakly sign-symmetric matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (4)

Open problems on GKK \(\tau\)-matrices ⋮ Hyperdeterminantal relations among symmetric principal minors ⋮ On the stability of \(P\)-matrices ⋮ Positivity of principal minors, sign symmetry and stability.

Cites Work

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• Notes on \(\omega\)- and \(\tau\)-matrices
• Recent directions in matrix stability
• On some conjectures on the spectra of τ-matrices
• The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
• A class of positive stable matrices
• Weakly sign-symmetric matrices and some determinantal inequalities
• Totally positive matrices

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