Root Finding Methods: Bracketing Techniques

Comprehensive study of bracketing methods for finding zeros of nonlinear equations including bisection method, false position method, and their convergence analysis.

• Implement and analyze the bisection method with convergence proofs
• Master the false position (regula falsi) method and its variants
• Understand bracketing principles and intermediate value theorem applications
• Analyze convergence rates and stopping criteria for bracketing methods
• Handle multiple roots and numerical challenges in root finding
• Compare bracketing methods in terms of robustness and efficiency