Ukrainian Mathematical Journal

, Volume 50, Issue 7, pp 1058–1066 | Cite as

Distribution of the spectrum and representation of solutions of degenerate dynamical systems

  • A. G. Mazko
Article

Abstract

We propose algebraic methods for the investigation of the spectrum and structure of solutions of degenerate dynamical systems. These methods are based on the construction and solution of new classes of matrix equations. We prove theorems on the inertia of solutions of the matrix equations, which generalize the well-known properties of the Lyapunov equation.

Keywords

Matrix Equation Matrix Polynomial Hermitian Matrice Ukrainian Academy Lyapunov Equation 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. G. Mazko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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