Inverse iteration for large defective eigensystems

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Scopus Citations
Scopus Metrics
View graph of relations

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

Link(s)

Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0032332535&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(00fadf62-0489-4812-9317-21d4a6527941).html

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

Fingerprint

Publication fingerprints text

100
Defectives Mathematics
100
Inverse Iteration Mathematics
100
Eigensystem Mathematics
66
Eigenvalue Mathematics
33
Numerical Example Mathematics
33
Rayleigh Quotient Mathematics
Full Fingerprint ›

Citation Format(s)

[ RIS ] [ BibTeX ]
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 - Publication in refereed journal › peer-review