Least-squares Padé reduction: a nonuniqueness property

T. Nigel Lucas, I. D. Smith

    Research output: Contribution to journalArticlepeer-review

    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

    Keywords

    • Errors
    • Least squares approximations
    • Matrix algebra
    • Reduced order systems
    • Transfer functions

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