Solving Equations: Newton's Method

This lecture covers the conditions for applying Newton's method to solve equations, including the non-linearity of the function and the Lipschitz continuity of its derivative. It also discusses the convergence of the method, presenting Theorem 7.7 and its implications. Additionally, the extension of Newton's method to multiple variables is explored, along with a reminder of gradient and Jacobian matrices. The lecture concludes with a brief explanation of the linear model.