Inverse iteration for large defective eigensystems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
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Author(s)

  • A. Y T Leung
  • J. K W Chan
  • C. W. Chan

Detail(s)

Original languageEnglish
Pages (from-to)697-716
Journal / PublicationJVC/Journal of Vibration and Control
Volume4
Issue number6
Publication statusPublished - Nov 1998
Externally publishedYes

Abstract

The solutions of large eigensystems having cluster, multiple, or defective eigenvalues by inverse iteration using one trial vector at a time are of interest. The Rayleigh quotient is used as shift. New formulas for each particular case are derived for definite convergence. Six numerical examples, including three-multiple defective eigenvalues, are given.

Research Area(s)

  • Computational method, Defective eigensystems, Inverse iteration

Citation Format(s)

Inverse iteration for large defective eigensystems. / Leung, A. Y T; Chan, J. K W; Chan, C. W.
In: JVC/Journal of Vibration and Control, Vol. 4, No. 6, 11.1998, p. 697-716.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review