Eigenvalue range determination for interval and parametric matrices

DOI10.1002/cta.609zbMath1298.94156OpenAlexW2065590967MaRDI QIDQ3075933

Lubomir V. Kolev

Publication date: 17 February 2011

Published in: International Journal of Circuit Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cta.609

zbMATH Keywords

interval methodslinear circuitseigenvalue range determinationinterval or parametric matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Iterative numerical methods for linear systems (65F10) Analytic circuit theory (94C05)

Related Items (6)

Regularity radius and real eigenvalue range ⋮ Real eigenvalue bounds of standard and generalized real interval eigenvalue problems ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ Minimal polynomial systems for parametric matrices ⋮ Linear interval parametric approach to testing pseudoconvexity ⋮ Determinants of Interval Matrices

Uses Software

• INTLAB

Cites Work

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• Outer interval solution of the eigenvalue problem under general form parametric dependencies
• On the range of eigenvalues of an interval matrix
• On the invariance of the sign pattern of matrix eigenvectors under perturbation
• Determining the positive definiteness margin of interval matrices
• Solution theorems for the standard eigenvalue problem of structures with uncertain-but-bounded parameters
• Stability of interval matrices: the real eigenvalue case
• The convex stability of an interval system
• An efficient interval method for global analysis of non-linear resistive circuits
• An interval algorithm for finding all solutions of non-linear resistive circuits
• Stability analysis of dynamic interval systems
• An algorithm for checking stability of symmetric interval matrices
• Assessing the stability of linear time-invariant continuous interval dynamic systems

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