A projection method for generalized eigenvalue problems

@inproceedings{Sakurai2002APM,
  title={A projection method for generalized eigenvalue problems},
  author={Tetsuya Sakurai and Hiroshi Sugiura},
  year={2002}
}
In this paper, we propose a method for finding certain eigenvalues of a generalized eigenvalue problem that lie in a given domain of the complex plane. The proposed method projects the matrix pencil onto a subspace associated with the eigenvalues that are located in the domain via numerical integration. The projection produces a small pencil with Hankel matrices. 
Highly Cited
This paper has 129 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
80 Citations
17 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 80 extracted citations

129 Citations

0102030'06'09'12'15'18
Citations per Year
Semantic Scholar estimates that this publication has 129 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Meso-scale fusion: A method for molecular electronic state calculation in inhomogeneous materials

  • S. Hyodo
  • Proc. the 21st Century, Mikkabi
  • 2001
1 Excerpt

Computing the Zeros of Analytic Functions

  • P. Kravanja, M. Van Barel
  • Lecture Notes in Mathematics 1727, Springer…
  • 2000
1 Excerpt

A JacobiDavidson iteration method for linear eigenvalue problem

  • H. A. Van Der Vorst
  • SIAM J . Matrix Anal . Appl .
  • 1996

Eigenvalues of Matrices

  • F. Chatelin
  • John Wiley & Sons, Chichester
  • 1993
1 Excerpt

A generalized nonsymmetric Lanczos procedure

  • J. Cullum, W. Kerner, R. Willoughby
  • Computer Phys. Communications 59
  • 1989
1 Excerpt

Similar Papers

Loading similar papers…