Numerical algebraic geometry

Numerical algebraic geometry is a subfield of mathematics that focuses on the study of algebraic varieties and their properties using computational and numerical methods. It is an intersection of algebraic geometry, which traditionally studies the solutions to polynomial equations, and numerical analysis, which involves algorithms and numerical methods to solve mathematical problems. Key concepts and features of numerical algebraic geometry include: 1. **Algebraic Varieties**: These are geometric objects that correspond to the solutions of systems of polynomial equations.