Newton's Method for Dynamical Systems

Covers Newton-Krylov-hookstep methods for finding roots of high-dimensional systems.

Newton's Method: Convergence and Criteria

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

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

Solving Equations with Newton's Method

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

Iterative Methods for Linear Equations

Introduces iterative methods for solving linear equations and discusses the gradient method for minimizing errors.