On convergence of Krylov subspace approximations of time-invariant self-adjoint dynamical systems

DOI10.1016/j.laa.2011.02.039zbMath1247.65082OpenAlexW2012708773MaRDI QIDQ414665

Mikhail Zaslavsky, Vladimir Druskin

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.039

zbMATH Keywords

numerical rangedynamical systemmodel reductionrational approximationdispersive medianonlinear spectrumKrylov subspacestructure preservingexponential integratorsfractional order equationstime-domain Maxwell's system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Linearizations (93B18) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

Adaptive model order reduction for the Jacobian calculation in inverse multi-frequency problem for Maxwell's equations ⋮ Acceleration of contour integration techniques by rational Krylov subspace methods ⋮ Adaptive rational Krylov subspaces for large-scale dynamical systems ⋮ Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces ⋮ A Note on Krylov Methods for Fractional Evolution Problems ⋮ Shift-and-Invert Krylov Methods for Time-Fractional Wave Equations ⋮ Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection ⋮ Automatic Smoothness Detection of the Resolvent Krylov Subspace Method for the Approximation of $C_0$-Semigroups

Uses Software

• Eigtool
• mftoolbox

Cites Work

• Differential-difference equations
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