Krylov-based order reduction using Laguerre series expansion

DOI10.1080/13873950701844246zbMath1151.93322OpenAlexW2110141520MaRDI QIDQ5302582

Boris Lohmann, Rudy Eid, Behnam Salimbahrami

Publication date: 7 January 2009

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873950701844246

zbMATH Keywords

Laguerre seriesorder reductionKrylov subspacelarge scle systems

Mathematics Subject Classification ID

System structure simplification (93B11) Large-scale systems (93A15)

Related Items (5)

Model reduction of bilinear systems based on Laguerre series expansion ⋮ Model order reduction based on general orthogonal polynomials in the time domain for coupled systems ⋮ Structure-preserving model order reduction based on Laguerre–SVD for coupled systems ⋮ Model reduction of discrete-time bilinear systems by a Laguerre expansion technique ⋮ Multi-order Arnoldi-based model order reduction of second-order time-delay systems

Cites Work

• Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
• Order reduction of large scale second-order systems using Krylov subspace methods
• Structure Preserving Reduction of Large Second Order Models by Moment Matching
• Optimal choice of time-scaling factor for linear system approximations using Laguerre models
• Model reduction methods based on Krylov subspaces
• Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
• Laguerre-Gram reduced-order modeling
• Equivalence of Laguerre-Based Model Order Reduction and Moment Matching
• Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
• Stable laguerre-svd reduced-order modeling
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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