Approximation of Spectral Intervals and Leading Directions for Differential-Algebraic Equation via Smooth Singular Value Decompositions

DOI10.1137/100806059zbMath1235.65087OpenAlexW2043572620WikidataQ115247090 ScholiaQ115247090MaRDI QIDQ3116385

Volker Mehrmann, Vu Hoang Linh

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b8b691b832d094eef8ffadb7eb2fd6c4a719caa8

zbMATH Keywords

exponential dichotomydifferential-algebraic equationstrangeness indexLyapunov exponentSacker-Sell spectrumBohl exponentspectral intervalsmooth singular value decompositionleading direction

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for differential-algebraic equations (65L80) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (5)

Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations ⋮ Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ Robust Stability of Differential-Algebraic Equations ⋮ Stable numerical solution for a class of structured differential-algebraic equations by linear multistep methods ⋮ Existence and uniqueness results for fuzzy linear differential-algebraic equations

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