Skip to main content
Log in

Finding maximum (in modulus) complex-conjugate eigenvalues of arbitrarily high dimension

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

Algorithms of determining maximum (in modulus) complex-conjugate eigenvalues are considered as applied to finding eigenvalues of high-dimension matrices according to the Khilenko method. An advantage of the algorithms is that the amount of calculation does not increase exponentially with the dimension of matrices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V. Khilenko, Methods of Systems Analysis in the Analysis of Adaptive Systems of Communication and Control [in Russian], Interlink, Kiev (2003).

    Google Scholar 

  2. V. P. Vinnitskii and V. V. Khilenko, Methods of Systems Analysis and Computer-Aided Design of Telecommunication Networks [in Russian], Interlink, Kiev (2002).

    Google Scholar 

  3. V. V. Khilenko, “Convergence of the dimension-reduction method in solving stiff systems of linear differential equations,” DAN USSR, No. 8, 76–79 (1987).

  4. M. V. Fedoryuk, Ordinary Differential Equations [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  5. A. Z. Grishchenko and V. V. Khilenko, The Dimension-Reduction Method and Analysis of Dynamic Systems [in Russian], UMK VO, Kiev (1988).

    Google Scholar 

  6. V. I. Krylov, Computational Methods [in Russian], Vol. 1, Nauka, Moscow (1977).

    Google Scholar 

  7. V. I. Krylov, Acceleration of Convergence [in Russian], Nauka i Tekhnika, Minsk (1988).

    Google Scholar 

  8. A. Angot, Compléments de Mathematiques. A l’usage des ingénieurs de l’élektrotechnique et des télécommunications, Paris (1957).

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 104–110, March–April 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Titarenko, Y.I. Finding maximum (in modulus) complex-conjugate eigenvalues of arbitrarily high dimension. Cybern Syst Anal 42, 248–253 (2006). https://doi.org/10.1007/s10559-006-0060-0

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-006-0060-0

Keywords

Navigation