Generalization of the concept of diagonal dominance with applications to matrix \(D\)-stability

DOI10.1016/j.laa.2021.08.004zbMath1475.15022OpenAlexW3196058444MaRDI QIDQ821004

Olga Y. Kushel, Raffaella Pavani

Publication date: 29 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.08.004

zbMATH Keywords

stability\(D\)-stabilitydiagonally dominant matriceseigenvalue clusteringGershgorin theoremLMI regions

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Conditioning of matrices (15A12)

Related Items (2)

Novel versions of \(D\)-stability in matrices provide new insights into ODE dynamics ⋮ Some bounds for determinants of relatively \(D\)-stable matrices

Cites Work

• Stability of matrices with negative diagonal submatrices
• Root clustering in parameter space
• Three types of matrix stability
• Stability of matrices with sufficiently strong negative-dominant-diagonal submatrices
• Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology
• A Note on Dynamic Stability
• H/sub ∞/ design with pole placement constraints: an LMI approach
• Unifying Matrix Stability Concepts with a View to Applications
• A general theory for matrix root-clustering in subregions of the complex plane
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalization of the concept of diagonal dominance with applications to matrix \(D\)-stability