Inverse Iteration for Large Defective Eigensystems

Inverse Iteration for Large Defective Eigensystems

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, in...

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Veröffentlicht in:Journal of vibration and control 1998-11, Vol.4 (6), p.697-716
Hauptverfasser: Leung, A.Y.T., Chan, J.K.W., Chan, C.W.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mechanical engineering
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Zusammenfassung: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.
ISSN:1077-5463
1741-2986
DOI:10.1177/107754639800400603