On inhomogeneous eigenvalue problems. I

DOI10.1016/0024-3795(87)90123-6zbMath0623.65039OpenAlexW2008584716MaRDI QIDQ1091756

Gustaf Söderlind, Robert M. M. Mattheij

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90123-6

zbMATH Keywords

asymptotic stabilityasymptotic estimatesLyapunov transformationinhomogeneous eigenvaluekinematic similarity transformationlargest kinematic eigenvalueshifted power iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• On inhomogeneous eigenvalue problems. I
• Least squares with a quadratic constraint
• Stability of linear systems: Some aspects of kinematic similarity
• Stationary values of the ratio of quadratic forms subject to linear constraints
• Stability and Asymptotic Estimates in Nonautonomous Linear Differential Systems
• Some Modified Matrix Eigenvalue Problems