Least-squares Padé reduction: a nonuniqueness property

T. Nigel Lucas; I. D. Smith

doi:10.1049/el:19951157

Least-squares Padé reduction: a nonuniqueness property

T. Nigel Lucas, I. D. Smith

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	1640-1642
Number of pages	3
Journal	Electronics Letters
Volume	31
Issue number	19
DOIs	https://doi.org/10.1049/el:19951157
Publication status	Published - 14 Sep 1995

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title = "Least-squares Pad{\'e} reduction: a nonuniqueness property",

abstract = "It is shown that least-squares Pad{\'e} 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.",

author = "Lucas, {T. Nigel} and Smith, {I. D.}",

year = "1995",

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AU - Smith, I. D.

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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

VL - 31

SP - 1640

EP - 1642

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

IS - 19

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