Polynomial Factorization of Spectral Bases

  • Authors:
  • V. S. Vykhovanets

  • Affiliations:
  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2004

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Abstract

Polynomial factorization of spectral bases is studied, expressing polynomial factorization as the representation of a system of spectral functions defined by an integral discrete transformation matrix in the form of the Kronecker product of matrices of reduced dimension. Such a representation is helpful in expressing an ordered system of functions by a unified formula in a base of binary operations. An algorithm for polynomial factorization of matrices, its theoretical principles, and results of an experiment are presented.