On a criterion of \(D\)-stability for \(P\)-matrices

DOI10.1515/spma-2016-0017zbMath1338.15017OpenAlexW2343625483MaRDI QIDQ287597

Olga Y. Kushel

Publication date: 23 May 2016

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2016-0017

zbMATH Keywords

stabilization\(P\)-matrices\(D\)-stability\(P\)-matrix powers\(Q^2\)-matricesmatrix scalings

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12) Exterior algebra, Grassmann algebras (15A75)

Related Items (2)

Unifying Matrix Stability Concepts with a View to Applications ⋮ Some bounds for determinants of relatively \(D\)-stable matrices

Cites Work

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• On the stability of \(P\)-matrices
• On the spectra of matrices having nonnegative sums of principal minors
• Spectra of matrices with P-matrix powers
• \(D\)-stability of 4-by-4 matrices
• Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology
• Positivity of principal minors, sign symmetry and stability.
• Products of M-matrices and nested sequences of principal minors
• A Note on Dynamic Stability
• Real, 3 x 3, D-stable matrices
• A class of positive stable matrices
• Stabilization by a Diagonal Matrix

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