A comparative study of 7 algorithms for model reduction

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2000, Pages 2367-2372

  Gugercin, S ^a   Antoulas, A C ^a  

^a Rice University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROL THEORY; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES;

ARNOLDI PROCEDURE; HANKEL NORM APPROXIMATION; KRYLOV ALGORITHM; LANCZOS PROCEDURE; MODEL REDUCTION; MOMENT MATCHING METHOD; SINGULAR VALUE DECOMPOSITION;

ALGORITHMS;

EID: 0034439990     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Singular perturbation approximation of balanced systems
2. Projection methods for balanced model reduction
3. Efficient linear circuit analysis by Padé approximation via a Lanczos method
4. Krylov projection methods for model reduction
5. Asymptotic waveform evaluation via a restarted Lanczos method
6. Model reduction of state space systems via an implicitly restarted Lanczos method
7. Implicitly restarted Krylov subspace methods for stable partial realizations
8. Singular perturbations and order reduction in control theory - An overview
9. Principal component analysis in linear system: Controllability, observability and model reduction
10. ∞-error bounds
11. Implicit application of polynomial filters in a k-step Arnoldi method
12. The Lanczos algorithm and Padé approximations