Padé Approximation Of Large-Scale Dynamic Systems With Lanczos Methods

Padé Approximation Of Large-Scale Dynamic Systems With Lanczos Methods (1994)

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by K. Gallivan , E. Grimme , P. Van Dooren

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Datum	Value	Source
TITLE	Padé Approximation Of Large-Scale Dynamic Systems With Lanczos Methods	user correction - Legacy Corrections
AUTHOR NAME	K. Gallivan	SVM HeaderParse 0.1
AUTHOR AFFIL	Coordinated Science Laboratory; University of Illinois at Urbana-Champaign	SVM HeaderParse 0.2
AUTHOR ADDR	1308 West Main Street; Urbana, IL 61801	SVM HeaderParse 0.1
AUTHOR NAME	E. Grimme	SVM HeaderParse 0.1
AUTHOR AFFIL	Coordinated Science Laboratory; University of Illinois at Urbana-Champaign	SVM HeaderParse 0.2
AUTHOR ADDR	1308 West Main Street; Urbana, IL 61801	SVM HeaderParse 0.1
AUTHOR NAME	P. Van Dooren	SVM HeaderParse 0.1
AUTHOR AFFIL	Coordinated Science Laboratory; University of Illinois at Urbana-Champaign	SVM HeaderParse 0.2
AUTHOR ADDR	1308 West Main Street; Urbana, IL 61801	SVM HeaderParse 0.1
ABSTRACT	The utility of Lanczos methods for the approximation of large-scale dynamical systems is considered. In particular, it is shown that the Lanczos method is a technique for yielding Pad'e approximants which has several advantages over more traditional explicit moment matching approaches. An extension of the Lanczos algorithm is developed for computing multi-point Pad'e approximations of descriptor systems. Keywords: Dynamic system, Pad'e approximation, Lanczos algorithm, model reduction. 1. Introduction This paper explores the use of Lanczos techniques for the reduced-order modeling and simulation of large-scale, SISO dynamical systems. One can define such a system through the set of state space equations ae E x(t) = Ax(t) + bu(t) y(t) = cx(t) + du(t): (1) The scalar functions u(t) and y(t) are the system's input and output while x(t) is the state vector of dimension n. For simplicity, the direct-coupling term, d, will be assumed to be zero. The system matrix, A 2 R n\Thetan ...	user correction - Legacy Corrections
YEAR	1994	user correction - Legacy Corrections
CITATIONS	26 found	ParsCit 1.0