Polynomial computation of Hankel singular values

H. Kwakernaak

Polynomial computation of Hankel singular values

H. Kwakernaak

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational transfer matrix. Tentative numerical experiments indicate that for high-order systems, scaling of the polynomial matrices N and D (so that the constant and leading coefficient matrices are of the same order of magnitude) is mandatory, and that solution of bilateral linear polynomial matrix equations by coefficient expansion is highly inefficient

Original language	Undefined
Title of host publication	31st IEEE Conference on Decision and Control
Place of Publication	Tucson, Arizona
Publisher	IEEE
Pages	3595-3599
Number of pages	0
Publication status	Published - 16 Dec 1992
Event	31st IEEE Conference on Decision and Control, CDC 1992 - Westin La Paloma, Tucson, United States Duration: 16 Dec 1992 → 18 Dec 1992 Conference number: 31

Publication series

Name
Publisher	IEEE
Volume	4

Conference

Conference	31st IEEE Conference on Decision and Control, CDC 1992
Abbreviated title	CDC
Country	United States
City	Tucson
Period	16/12/92 → 18/12/92

Keywords

IR-30891
METIS-141532

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Polynomial_computation_-_kwakernaak
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Cite this

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title = "Polynomial computation of Hankel singular values",

abstract = "A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational transfer matrix. Tentative numerical experiments indicate that for high-order systems, scaling of the polynomial matrices N and D (so that the constant and leading coefficient matrices are of the same order of magnitude) is mandatory, and that solution of bilateral linear polynomial matrix equations by coefficient expansion is highly inefficient",

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N1 - Conference code: 31

PY - 1992/12/16

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N2 - A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational transfer matrix. Tentative numerical experiments indicate that for high-order systems, scaling of the polynomial matrices N and D (so that the constant and leading coefficient matrices are of the same order of magnitude) is mandatory, and that solution of bilateral linear polynomial matrix equations by coefficient expansion is highly inefficient

AB - A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational transfer matrix. Tentative numerical experiments indicate that for high-order systems, scaling of the polynomial matrices N and D (so that the constant and leading coefficient matrices are of the same order of magnitude) is mandatory, and that solution of bilateral linear polynomial matrix equations by coefficient expansion is highly inefficient

KW - IR-30891

KW - METIS-141532

M3 - Conference contribution

SP - 3595

EP - 3599

BT - 31st IEEE Conference on Decision and Control

PB - IEEE

CY - Tucson, Arizona

Y2 - 16 December 1992 through 18 December 1992

ER -