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Modifications of the ΔW-q Factorization Method for Multiparameter Polynomial Matrices and Their Properties

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Abstract

Properties of the method of ΔW-q factorization of multiparameter polynomial matrices are analyzed. Modifications of the method, used in solving spectral and other multiparameter problems of algebra, are discussed. Bibliogrhaphy: 11 titles.

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REFERENCES

  1. T. Ya. Kon'kova and V. N. Simonova, “Library of MATLAB functions for polynomial matrices,” Zap. Nauchn. Semin. POMI, 219, 53–80 (1994).

    Google Scholar 

  2. V. N. Kublanovskaya, “An approach to solving multiparameter problems,” Zap. Nauchn. Semin. POMI, 229, 191–246 (1995).

    MATH  Google Scholar 

  3. V. N. Kublanovskaya, “Methods and algorithms for solving spectral problems for polynomial and rational matrices,” Zap. Nauchn. Semin. POMI, 238, 3–330 (1997).

    MATH  Google Scholar 

  4. V. N. Kublanovskaya, “The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix,” Zap. Nauchn. Semin. POMI, 268, 115–144 (2000).

    MATH  Google Scholar 

  5. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 1,” Zap. Nauchn. Semin. POMI, 284, 143–162 (2002).

    MATH  Google Scholar 

  6. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 2,” Zap. Nauchn. Semin. POMI, 296, 89–107 (2003).

    Google Scholar 

  7. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 4,” Zap. Nauchn. Semin. POMI, 309, 127–143 (2004).

    MATH  MathSciNet  Google Scholar 

  8. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 5,” Zap. Nauchn. Semin. POMI, 309, 144–153 (2004).

    MATH  MathSciNet  Google Scholar 

  9. V. N. Kublanovskaya and V. B. Khazanov, Numerical Methods for Solving Parametric Problems of Algebra. Part 1. One-Parameter Problems, Nauka, St. Petersburg (2004).

    Google Scholar 

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

    MATH  Google Scholar 

  11. V. B. Khazanov, “On some properties of polynomial bases of subspaces over the field of rational functions in several variables,” Zap. Nauchn. Semin. POMI, 284, 177–191 (2002).

    MATH  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg Department, Steklov Mathematical Institute, St. Petersburg, Russia

    V. N. Kublanovskaya

  2. St. Petersburg Marine Technical University, St. Petersburg, Russia

    V. B. Khazanov

Authors
  1. V. N. Kublanovskaya
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  2. V. B. Khazanov
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 309, 2004, pp. 154–165.

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Kublanovskaya, V.N., Khazanov, V.B. Modifications of the ΔW-q Factorization Method for Multiparameter Polynomial Matrices and Their Properties. J Math Sci 132, 229–235 (2006). https://doi.org/10.1007/s10958-005-0491-6

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  • DOI: https://doi.org/10.1007/s10958-005-0491-6

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