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arXiv · 1503.04380

A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity

Wei Zhu·Xiao-Shan Gao
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Abstract

In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic variable from a set of polynomials in one step using the theory of multivariate resultant. This seems to be the first differential triangular decomposition algorithm with elementary computation complexity.

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Wei Zhu, Xiao-Shan Gao. 2015-03-15. A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity. https://arxiv.org/abs/1503.04380

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