Determination of Jordan chains by extended matrices

Research output: Journal Publications and ReviewsRGC 22 - Publication in policy or professional journal

3 Scopus Citations
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Author(s)

  • S. C. Wong
  • A. Y T Leung

Detail(s)

Original languageEnglish
Pages (from-to)879-893
Journal / PublicationCommunications in Numerical Methods in Engineering
Volume14
Issue number9
Publication statusPublished - Sept 1998
Externally publishedYes

Abstract

The major obstacle to determination of the Jordan chains for a highly degenerated eigenproblem is that the triangular combinations of the principal vectors in a Jordan chain are also principal vectors and the linear combinations of the eigenvectors of all Jordan blocks associated with the same eigenvalue are also eigenvectors. These indeterminate constants will hide the Jordan block structure and make the analysis very difficult. We propose an extended matrix method to find the Jordan chains and eliminate the indeterminate constants so that the Jordan block structure can be computed sequentially. An example with the Segre characteristic [(321)11] is given. © 1998 John Wiley & Sons, Ltd.

Research Area(s)

  • Derogatory eigenproblems, Jordan blocks, Jordan chains, Segre characteristic

Citation Format(s)

Determination of Jordan chains by extended matrices. / Wong, S. C.; Leung, A. Y T.
In: Communications in Numerical Methods in Engineering, Vol. 14, No. 9, 09.1998, p. 879-893.

Research output: Journal Publications and ReviewsRGC 22 - Publication in policy or professional journal