Computing the normal forms of matrices depending on parameters

  • Authors:
  • G. Chen

  • Affiliations:
  • Laboratoire TIM3-IMAG, Grenoble, France

  • Venue:
  • ISSAC '89 Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation
  • Year:
  • 1989

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Abstract

We consider in this paper an algorithm for the exact computation of the Frobenius, Jordan and Arnold's form of matrices depending holomorphically on parameters. The problem originates from the problem of formal resolution of a first order system of differential equations depending on parameter. We have implemented this algorithm in Macsyma.