Lectures related to Nonlinear Equations: Bisection and Fixed-Point Methods

Covers the fixed point method for solving nonlinear equations and discusses convergence properties.

Explores fixed point methods for non-linear equations and dynamic models in MATLAB.

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

Covers the fixed point method for finding x bar = g(x bar) and demonstrates convergence and divergence of sequences.

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

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

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

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

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

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

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 the fixed point method for convergence and linear error reduction.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Explores the global convergence of the fixed point method for nonlinear equations.

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

Explores the fixed point method for global convergence in solving nonlinear equations.

Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.

Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.