Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction

Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction

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Matrix Lyapunov and Riccati equations are an important tool in mathematical systems theory. They are the key ingredients in balancing based model order reduction techniques and linear quadratic regulator problems. For small and moderately sized problems these equations are solved by techniques with...

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Bibliographic Details
Main Author: Saak, Jens
Other Authors: Benner, Peter
Format: Doctoral Thesis
Language:English
Published: 2009
Subjects:
info:eu-repo/classification/ddc/500
ddc:500
Lineare Algebra
Numerische Mathematik
Partielle Differentialgleichung
Balanciertes Abschneiden
LQR für PDEs
Lyapunovgleichung
Modellreduktion
Riccatigleichung
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200901642
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http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200901642
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