Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations
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Publication:3559128
DOI10.1137/070699378zbMath1195.65058OpenAlexW2061025600MaRDI QIDQ3559128
Valeria Simoncini, Vladimir Druskin
Publication date: 11 May 2010
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070699378
Galerkin methodnumerical experimentsLyapunov matrix equationprojection methodsKrylov subspace methodFaber polynomialsmatrix exponentiallarge-scale continuous-time Lyapunov equations
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From Low-Rank Approximation to a Rational Krylov Subspace Method for the Lyapunov Equation ⋮ Computational Methods for Linear Matrix Equations ⋮ Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations ⋮ A greedy Galerkin method to efficiently select sensors for linear dynamical systems ⋮ A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line ⋮ Convergence analysis of the extended Krylov subspace method for the Lyapunov equation ⋮ Krylov subspace methods for projected Lyapunov equations ⋮ Retracing the residual curve of a Lyapunov equation solver ⋮ A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions ⋮ Approximation of functions of large matrices with Kronecker structure ⋮ An inverse‐free ADI algorithm for computing Lagrangian invariant subspaces ⋮ Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations ⋮ Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
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