Least-squares Padé reduction

a nonuniqueness property

T. Nigel Lucas, I. D. Smith

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is shown that least-squares Padé reduced order models are not unique for a given order. Depending on which reduced denominator coefficient is chosen to be unity, the method is seen to minimise an error index over different subsets of system time moments when calculating this denominator.
Original languageEnglish
Pages (from-to)1640-1642
Number of pages3
JournalElectronics Letters
Volume31
Issue number19
DOIs
Publication statusPublished - 14 Sep 1995

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Lucas, T. Nigel ; Smith, I. D. / Least-squares Padé reduction : a nonuniqueness property. In: Electronics Letters. 1995 ; Vol. 31, No. 19. pp. 1640-1642.
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Least-squares Padé reduction : a nonuniqueness property. / Lucas, T. Nigel; Smith, I. D.

In: Electronics Letters, Vol. 31, No. 19, 14.09.1995, p. 1640-1642.

Research output: Contribution to journalArticle

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T1 - Least-squares Padé reduction

T2 - a nonuniqueness property

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AU - Smith, I. D.

PY - 1995/9/14

Y1 - 1995/9/14

N2 - It is shown that least-squares Padé reduced order models are not unique for a given order. Depending on which reduced denominator coefficient is chosen to be unity, the method is seen to minimise an error index over different subsets of system time moments when calculating this denominator.

AB - It is shown that least-squares Padé reduced order models are not unique for a given order. Depending on which reduced denominator coefficient is chosen to be unity, the method is seen to minimise an error index over different subsets of system time moments when calculating this denominator.

U2 - 10.1049/el:19951157

DO - 10.1049/el:19951157

M3 - Article

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SP - 1640

EP - 1642

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

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