Lectures related to Iterated function

Higher Order Methods: Iterative Techniques

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Jacobi and Gauss-Seidel methods

Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.

Descent methods and line search: Finiteness of the line search algorithm

Explores the Wolfe conditions for line search algorithms and proves the finiteness of the line search parameter.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Newton method for systems: Fixed point iterations

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

Analysis of Trust Regions with Cauchy Steps

Explores the analysis of trust regions with Cauchy steps in optimization.

Convergence Criteria

Discusses convergence criteria and when iteration stops, focusing on known cases and metrics attention.

Numerical Methods: Iterative Techniques

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Lambda Functions: Examples

Explores lambda functions in Java through practical examples and the consumer interface.

Electrical Circuit: Fixed Point Methods

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

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.

Trust region methods: framework & algorithms

Covers trust region methods, focusing on the framework and algorithms.

Photo Maquette

Explores the importance of photo maquette in the creative process.

Picard Method: Fixed Point Iterative Technique

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Resolution Sequence: Defining a Procedure

Explains the systematic procedure for solving flow sheets and stream calculations.

Exploration Bias

Explores regularization, learning algorithms, and subgaussian assumptions in machine learning.

Newton's Method: Fixed Point Iterative Approach

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Numerical Methods: Fixed Point and Picard Method

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Newton's Method: Convergence

Explores the convergence of Newton's method for solving nonlinear equations and the importance of selecting appropriate initial guesses.