PolSys seminarRSS

On the Complexity of Solving Bivariate Systems

Intervenant(s) :  Eric Schost (Computer Science Department, University of Western Ontario)
We present an algorithm for solving bivariate polynomial systems with coefficients in $mathbb{Q}$ with essentially optimal bit complexity. The core of the algorithm is a classical Newton iteration procedure. New ingredients are needed, though, such as Kedlaya-Umans' modular composition algorithm and deflation techniques due to Lecerf.
Joint work with Esmaeil Mehrabi.
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