Lectures related to Analysis of Trust Regions with Cauchy Steps

Optimisation in Energy Systems

Explores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.

Newton method for systems: Fixed point iterations

Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.

Newton Method: Convergence and Quadratic Care

Covers the Newton method and its convergence properties near the optimal point.

Fixed Point Theorem: Convergence of Newton's Method

Covers the fixed point theorem and the convergence of Newton's method, emphasizing the importance of function choice and derivative behavior for successful iteration.

Root Finding Methods: Secant, Newton, and Fixed Point Iteration

Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.

Link-Based Ranking: HITS

Covers the HITS algorithm, computing hubs and authorities, convergence, and sample results.

Newton's Method: Order 2

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

Fixed Point Method

Covers the fixed point method for convergence and linear error reduction.