Solvig Unconstrained Nonlinear Optimization with Newton's Method

In this video, we explore Newton's Method from first principles — starting with simple geometric intuition and building up to solving challenging 2D nonlinear optimization problems using the Hessian matrix. Topics covered: • Geometric intuition behind Newton's root-finding update rule • How optimization reduces to a root-finding problem • Newton's Method for 1D nonconvex functions • Extending Newton's Method to 2D using the Hessian matrix • Solving the famous Rosenbrock function in just 2–4 iterations! 📧 Contact: chenxy346@gmail.com 🌐 Homepage: https://xinychen.github.io #calculus #optimization #newton #maths #statistics #machinelearning #linearalgebra