Computational complexity of solving polynomial differential equations over unbounded domains with non-rational coefficients

Amaury Pouly

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arXiv · 1608.00135

Computational complexity of solving polynomial differential equations over unbounded domains with non-rational coefficients

Amaury Pouly

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Abstract

In this note, we extend the result of \cite{PoulyG16} about the complexity of solving polynomial differential equations over unbounded domains to work with non-rational input. In order to deal with arbitrary input, we phrase the result in framework of Conputable Analysis \cite{Ko91}. As a side result, we also get a uniform result about complexity of the operator, and not just about the solution.

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Amaury Pouly. 2016-07-30. Computational complexity of solving polynomial differential equations over unbounded domains with non-rational coefficients. https://arxiv.org/abs/1608.00135

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