New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    Three well-known stability preserving methods of reduction are shown to be special forms of the multipoint pade approximation. Two of the methods—the modified forms of the Schwarz approximation and the stability equation method—are consequently shown to be closely related. Previously observed properties of the methods are explained by treating them as multipoint approximants, and the significance of using expansion points on the imaginary axis is shown to be central to stability preservation.
    Original languageEnglish
    Pages (from-to)1267-1274
    Number of pages8
    JournalInternational Journal of Systems Science
    Volume20
    Issue number7
    DOIs
    Publication statusPublished - 1989

    Keywords

    • Stability

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