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arXiv · 1506.01654

An inversion algorithm for polynomial maps

Elzbieta Adamus·Pawel Bogdan·Teresa Crespo·Zbigniew Hajto
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Abstract

We present an algorithmic equivalent statement to the Jacobian conjecture. Given a polynomial map F on an affine space of dimension n, our algorithm constructs n sequences of polynomials such that F is invertible if and only if the zero polynomial appears in all n sequences and moreover computes the inverse map of F. This algorithm provides a classification of polynomial automorphisms of affine spaces.

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Elzbieta Adamus, Pawel Bogdan, Teresa Crespo, Zbigniew Hajto. 2015-06-04. An inversion algorithm for polynomial maps. https://arxiv.org/abs/1506.01654

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