Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jul 2018)

A revised moment error expression for the AIRGA algorithm

  • Faßbender Heike,
  • Mayer Julius

DOI
https://doi.org/10.2478/auom-2018-0020
Journal volume & issue
Vol. 26, no. 2
pp. 87 – 104

Abstract

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The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional damping is revisited. The method automatically generates a reduced system approximating the transfer function. It is based on a moment-matching approach. The expansion points are determined iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on an error estimation. A revised moment error expression is presented as well as some related findings.

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