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Polynomial Equations: Theory and Practice

In: Polynomial Optimization, Moments, and Applications

Author

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  • Simon Telen

    (Centrum Wiskunde & Informatica (CWI)
    Present Address: Max Planck Institute for Mathematics in the Sciences)

Abstract

Solving polynomial equations is a subtask of polynomial optimization. This chapter 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.

Suggested Citation

  • Simon Telen, 2023. "Polynomial Equations: Theory and Practice," Springer Optimization and Its Applications, in: Michal Kočvara & Bernard Mourrain & Cordian Riener (ed.), Polynomial Optimization, Moments, and Applications, pages 235-261, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-38659-6_8
    DOI: 10.1007/978-3-031-38659-6_8
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