Oblique Production Methods for Large Scale Model Reduction

DOI10.1137/S0895479893250740zbMath0827.65073MaRDI QIDQ4835415

E. M. Kasenally, Imad M. Jaimoukha

Publication date: 11 December 1995

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

observabilitycontrollabilitydiscrete systemslarge scale systemsprojection methodsKrylov subspace methodsLyapunov equationsresidual errorserror normsbackward perturbation normsGalerkin type conditionsmodel reduction algorithms

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Matrix equations and identities (15A24) Minimal systems representations (93B20) Observability (93B07) Iterative numerical methods for linear systems (65F10)

Related Items (15)

Nonlinear model order reduction based on tensor Kronecker product expansion with Arnoldi process ⋮ Computational Methods for Linear Matrix Equations ⋮ Matrix Krylov subspace methods for large scale model reduction problems ⋮ Derivative-extended time domain reduction for coupled systems using Chebyshev expansion ⋮ Model reduction of state space systems via an implicitly restarted Lanczos method ⋮ A rational Lanczos algorithm for model reduction ⋮ Adaptive rational interpolation: Arnoldi and Lanczos-like equations ⋮ A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions ⋮ Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations ⋮ An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices ⋮ Approximate implicit subspace iteration with alternating directions for LTI system model reduction ⋮ Algorithms for model reduction of large dynamical systems ⋮ Projection methods for large Lyapunov matrix equations ⋮ Low order approximation of the spherical nonreflecting boundary kernel for the wave equation ⋮ Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems

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