Skip to main content
Log in

To solving spectral problems for multiparameter polynomial matrices

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

An approach to solving spectral problems for multiparameter polynomial matrices based on passing to accompanying pencils of matrices is described. Also reduction of spectral problems for multiparameter pencils of complex matrices to the corresponding real problems is considered. Bibliography: 6 titles.

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. B. Khazanov, “Methods for solving multiparameter spectral problems,” in: Algorithms 89, Proc. 10th Symp. Algorithms, Bratislava (1989), pp. 46–48.

  2. V. B. Khazanov, “On spectral properties of multiparameter polynomial matrices,” Zap. Nauchn. Semin. POMI, 229, 284–321 (1995).

    Google Scholar 

  3. V. B. Khazanov, “Methods for solving spectral problems for multiparameter matrix pencils,” Zap. Nauchn. Semin. POMI, 296, 139–168 (2003).

    Google Scholar 

  4. V. B. Khazanov, “A resultant approach to computing vector characteristics of multiparameter polynomial matrices,” Zap. Nauchn. Semin. POMI, 323, 182–214 (2005).

    MATH  MathSciNet  Google Scholar 

  5. E. K. Blum and A. F. Chang, “A numerical method for the solution of the double eigenvalue problem,” J. Inst. Math. Appl., 22, No. 1, 29–42 (1978).

    Article  MATH  MathSciNet  Google Scholar 

  6. E. K. Blum and A. R. Curtis, “A convergent gradient method for matrix eigenvalue problems,” Numer. Math., 31, No. 3, 247–263 (1978).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 323, 2006, pp. 212–231.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khazanov, V.B. To solving spectral problems for multiparameter polynomial matrices. J Math Sci 141, 1690–1700 (2007). https://doi.org/10.1007/s10958-007-0079-4

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-007-0079-4

Keywords

Navigation