Corpus ID: 3736332

Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems

@inproceedings{Barkatou2010FrobeniusMF,
  title={Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems},
  author={M. Barkatou and T. Cluzeau and Carole El Bacha},
  year={2010}
}
We consider the problem of computing regular formal solutions of systems of linear differential equations with analytic coefficients. The classical approach consists in reducing the system to an equivalent scalar linear differential equation and to apply the well-known Frobenius method. This transformation to a scalar equation is not necessarily relevant so we propose a generalization of the Frobenius method to handle directly square linear differential systems. Finally, we investigate the case… Expand
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DOCTEUR DE L'UNIVERSITÉ DE LIMOGES

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