Regularity radius and real eigenvalue range

DOI10.1016/j.amc.2014.01.113zbMath1334.15059OpenAlexW1989223003MaRDI QIDQ272632

Lubomir V. Kolev

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.113

zbMATH Keywords

generalized eigenvalue probleminterval parametric matrixreal eigenvalue rangeregularity radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (1)

Regularity radius: Properties, approximation and a not a priori exponential algorithm

Cites Work

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• Checking robust nonsingularity is NP-hard
• Bounds on eigenvalues of real and complex interval matrices
• Eigenvalue range determination for interval and parametric matrices
• Bounds for the Componentwise Distance to the Nearest Singular Matrix
• Determining the range of real eigenvalues for the interval generalized eigenvalue problem
• Interval Matrices: Singularity and Real Eigenvalues
• An Algorithm for Checking Regularity of Interval Matrices
• Almost Sharp Bounds for the Componentwise Distance to the Nearest Singular Matrix
• Evolutionary Optimization Method for Approximating the Solution Set Hull of Parametric Linear Systems

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