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Model Reduction using Vorobyev Moment Problem

SYSNO ASEP	0312477
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Model Reduction using Vorobyev Moment Problem
Title	Redukce modelu s použitím Vorobjevova problému momentů
Author(s)	Strakoš, Zdeněk (UIVT-O)_{SAI, RID, ORCID}
Source Title	Numerical Algorithms. - : Springer - ISSN 1017-1398 Roč. 51, č. 3 (2009), s. 363-379
Number of pages	17 s.
Language	eng - English
Country	NL - Netherlands
Keywords	matching moments ; model reduction ; Krylov subspace methods ; conjugate gradient method ; Lanczos method ; Arnoldi method ; Gauss-Christoffel quadrature ; scattering amplitude
Subject RIV	BA - General Mathematics
R&D Projects	IAA100300802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10300504 - UIVT-O (2005-2011)
UT WOS	000266093300005
EID SCOPUS	67349146721
DOI	10.1007/s11075-008-9237-0
Annotation	In this paper we will consider a general mathematical concept of matching moments model reduction. The idea of model reduction via matching moments is well known and widely used in approximation of dynamical systems, but it goes back to Stieltjes, with some preceding work done by Chebyshev and Heine. The algebraic moment matching problem can for A hermitian positive definite be formulated as a variant of the Stieltjes moment problem, and can be solved using Gauss-Christoffel quadrature. Using the operator moment problem suggested by Vorobyev, we will generalize model reduction based on matching moments to the non-Hermitian case in a straightforward way. Unlike in the model reduction literature, the presented proofs follow directly from the construction of the Vorobyev moment problem.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2009

Number of the records: 1