Newton's Method: Convergence and Quadratic Convergence

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (28)

Page 1 of 3

Numerics: semester project

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.

Taylor Series: Convergence and Applications

Explores Taylor series development, convergence criteria, and numerical applications.

Iterative Methods for Linear Equations

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

Newton Method: Convergence and Quadratic Care

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

Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Fixed-Point Methods and Newton-Raphson

Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.

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.

Iterative Methods for Nonlinear Equations

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Convergence of Fixed Point Methods

Explores the convergence of fixed point methods and the implications of different convergence rates.