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Lecture
Fixed Point Methods: Non-linear Equations Solution
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Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Newton method for systems: Fixed point iterations
Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Fixed Point Method: Global Convergence
Explores the fixed point method for global convergence in solving nonlinear equations.
Stopping Criteria for Fixed Point Iteration
Discusses stopping criteria for fixed point iteration in nonlinear equations and how to manage errors.
Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.
Fixed Point Method: Nonlinear Equations
Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Nonlinear Equations: Global Convergence of Fixed Point Method
Explores the global convergence of the fixed point method for nonlinear equations.
Fixed Point Methods
Explores fixed point methods for function solutions and non-linear systems.