Polynomial Equations: Theory and Practice
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cs.NAmath.NAmath.OC
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equationspolynomialsolvingtheoryalgebraicapproachesarticlecounts
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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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