Journal of Mathematical Sciences

, Volume 132, Issue 2, pp 236–239 | Cite as

On Some Spectral Characteristics of Multiparameter Polynomial Matrices

  • V. B. Khazanov


Definitions of certain spectral characteristics of polynomial matrices (such as the analytical (algebraic) and geometric multiplicities of a point of the spectrum, deflating subspaces, matrix solvents, and block eigenvalues and eigenvectors) are generalized to the multiparameter case, and properties of these characteristics are analyzed. Bibliogrhaphy: 4 titles.


Spectral Characteristic Polynomial Matrix Polynomial Matrice Matrix Solvent Geometric Multiplicity 
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  1. 1.
    V. B. Khazanov, “On some spectral characteristics of λ-matrices,” Zap. Nauchn. Semin. POMI, 139, 111–124 (1984).MATHMathSciNetGoogle Scholar
  2. 2.
    V. B. Khazanov, “On spectral properties of multiparameter polynomial matrices,” Zap. Nauchn. Semin. POMI, 229, 284–321 (1995).MATHGoogle Scholar
  3. 3.
    V. B. Khazanov, “Generating eigenvectors of a multiparameter polynomial matrix,” Zap. Nauchn. Semin. POMI, 248, 165–186 (1998).MATHGoogle Scholar
  4. 4.
    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).MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • V. B. Khazanov
    • 1
  1. 1.St. Petersburg Marine Technical UniversitySt. PetersburgRussia

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