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Journal of Mathematical Sciences

, Volume 176, Issue 1, pp 83–92 | Cite as

To solving problems of algebra for two-parameter matrices. VIII

  • V. N. Kublanovskaya
Article
  • 19 Downloads

The paper discusses the method of hereditary pencils for computing points of the regular and singular spectra of a general two-parameter polynomial matrix. The method allows one to reduce the spectral problems considered to eigenproblems for polynomial matrices and pencils of constant matrices. Algorithms realizing the method are suggested and justified. Bibliography: 4 titles.

Keywords

Russia Spectral Problem Mathematical Institute Polynomial Matrix Constant Matrice 
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References

  1. 1.
    V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 1,” Zap. Nauchn. Semin. POMI, 359, 107–149 (2008).MathSciNetGoogle Scholar
  2. 2.
    V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 4,” Zap. Nauchn. Semin. POMI, 367, 121–144 (2009).MathSciNetGoogle Scholar
  3. 3.
    V. N. Kublanovskaya and V. B. Khazanov, Numerical Methods for Solving Parametric Problems of Algebra. Part 1.One-Parameter Problems [in Russian], Nauka, St.Petersburg (2004).Google Scholar
  4. 4.
    V. N. Kublanovskaya and V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 7,” Zap. Nauchn. Semin. POMI, 382, 141–149 (2010).MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.St.Petersburg Department of the Steklov Mathematical InstituteSt.PetersburgRussia

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