Solving polynomial equations and applications

10/10/2022

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by   Simon Telen, et al.

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These notes accompany an introductory lecture given by the author at the workshop on solving polynomial equations applications at CWI Amsterdam in the context of the 2022 fall semester programme on polynomial optimization applications. We introduce systems of polynomial equations and the main approaches for solving them. We also discuss applications and solution counts. The theory is illustrated by many examples.