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

Published 15 Mar 2015 in cs.SC | (1503.04380v1)

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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