Nonlinear Equations: Bisection and Fixed-Point Methods

This lecture covers the concepts of nonlinear equations, focusing on bisection continuation and fixed-point methods. The instructor explains the manual reparametrization, trimming with the divergence theorem, and error control techniques. The lecture also delves into the pros and cons of the bisection method, emphasizing the importance of continuity and error management. Additionally, the fixed-point iteration methods are discussed, highlighting the convergence properties and practical applications through circuit parameters. The graphical interpretation of fixed points is explored using different fixed point equations, demonstrating convergence and solution approaches.