Iterative Numerical Methods: Convergence and Errors

This lecture covers iterative numerical methods for solving nonlinear equations, focusing on convergence criteria and error analysis. It discusses the convergence order, computational errors, and the impact of starting values on convergence. The instructor explains the concept of convergence in numerical methods and the types of convergence based on order. Additionally, the lecture delves into computational errors, including absolute and relative errors, and the factors contributing to these errors. The importance of choosing suitable starting values for iterative methods is emphasized, along with the implications of divergence. Practical considerations for numerical calculations and the limitations of iterative methods are also addressed.