Lectures related to Newton Method: Convergence Analysis

Coordinate Descent: Efficient Optimization Techniques

Covers coordinate descent, a method for optimizing functions by updating one coordinate at a time.

Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.

Introduces Newton's method for solving non-linear equations iteratively, highlighting its fast convergence but also its potential failure to converge in some cases.

Newton's Method: Convergence and Criteria

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Taylor Series and Secant Method: Numerical Analysis Techniques

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Newton's Method: Order 2

Explains Newton's method of order 2 for finding function zeros.

Bisection Method, Newton Method

Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.