Advertisement

Journal of Mathematical Sciences

, Volume 182, Issue 6, pp 834–838 | Cite as

To solving spectral problems for q-parameter polynomial matrices. II

  • V. N. KublanovskayaEmail author
  • V. B. Khazanov
Article
  • 22 Downloads

The paper continues the studies of the method of hereditary pencils for computing points of the finite spectrum of a multiparameter polynomial matrix. The method involves induction on the number of parameters and consists of two stages. At the first stage, given the coefficients of a multiparameter matrix, a sequence of (q-k)-parameter polynomial matrices (k = 1,…,q) satisfying certain recursive relations is formed. This sequence is used at the second stage. As the base case, two-parameter matrices and their spectral characteristics, which are computed by applying the method of hereditary pencils, are considered. Algorithms implementing the second stage are suggested and theoretically justified. Bibliography: 4 titles.

Keywords

Spectral Characteristic Base Case Recursive Relation Spectral Problem Polynomial Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V. N. Kublanovskaya, “To solving spectral problems for q-parameter polynomials matrices,” Zap. Nauchn. Semin. POMI, 382, 168-183 (2010).Google Scholar
  2. 2.
    V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8,” Zap. Nauchn. Semin. POMI, 382, 150-167 (2010).Google Scholar
  3. 3.
    V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 9,” Zap. Nauchn. Semin. POMI, 395, 124-141 (2011).MathSciNetGoogle Scholar
  4. 4.
    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

Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt. PetersburgRussia
  2. 2.St. Petersburg State Marine Technical UniversitySt. PetersburgRussia

Personalised recommendations