Around the numeric-symbolic computation of differential Galois groups

@article{Hoeven2007AroundTN,
  title={Around the numeric-symbolic computation of differential Galois groups},
  author={Joris van der Hoeven},
  journal={J. Symb. Comput.},
  year={2007},
  volume={42},
  pages={236-264}
}
Let L∈K(z)[∂] be a linear differential operator, where K is an effective algebraically closed subfield of C. It can be shown that the differential Galois group of L is generated (as a closed algebraic group) by a finite number of monodromy matrices, Stokes matrices and matrices in local exponential groups. Moreover, there exist fast algorithms for the approximation of the entries of these matrices. In this paper, we present a numeric-symbolic algorithm for the computation of the closed… CONTINUE READING
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