Polynomial Equations: Theory and Practice - Polynomial Optimisation, Moments, and Applications Access content directly
Book Sections Year : 2023

Polynomial Equations: Theory and Practice

Abstract

Solving polynomial equations is a subtask of polynomial optimization. This article introduces systems of such equations and the main approaches for solving them. We discuss critical point equations, algebraic varieties, and solution counts. The theory is illustrated by many examples using different software packages.

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Dates and versions

hal-04076672 , version 1 (21-04-2023)

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Simon Telen. Polynomial Equations: Theory and Practice. Michal Kočvara; Bernard Mourrain; Cordian Riener. Polynomial Optimization, Moments, and Applications, Springer, pp.215-240, In press, ⟨10.48550/arXiv.2210.04939⟩. ⟨hal-04076672⟩
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