Iterative Methods: Error Control and Linear Systems Resolution

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Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.

Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.

Covers the topic of nonlinear equations and the fixed point method.

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

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

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

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

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

Covers the convergence of Newton's method and its applications in numerical analysis.

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