Nonequivalence transformation of λ-matrix eigenproblems and model embedding approach to model tuning

William R. Ferng*, Wen-Wei Lin, Daniel J. Pierce, Chern Shuh Wang

*Corresponding author for this work

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

In this paper we present some theory for a non-equivalence transformation of matrix eigenvalues for λ-matrix polynomials. Application of this transformation to eigenvalue embedding for model tuning on a realistic industry problem is illustrated. The new approach has several advantages such as flexibility, efficiency, and structure-preservation. A numerical experiment on a pseudosimulation data set from The Boeing Company is reported.

Original languageEnglish
Pages (from-to)53-70
Number of pages18
JournalNumerical Linear Algebra with Applications
Volume8
Issue number1
DOIs
StatePublished - 1 Dec 2001

Keywords

  • Eigenvalue embedding
  • Model tuning
  • Non-equivalence transformation
  • Pole assignment
  • System identification

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