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Lecture
Fixed Point Method: Global Convergence
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Related lectures (32)
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Fixed Point Method
Covers the fixed point method for convergence and linear error reduction.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Newton Method: Data Interpolation
Covers the Newton method for finding zeros of functions using data interpolation.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
Stopping Criteria for Fixed Point Iteration
Discusses stopping criteria for fixed point iteration in nonlinear equations and how to manage errors.
Numerical Analysis: Newton's Method
Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Fixed Point Method: Proof
Explores the fixed point method for nonlinear equations and its convergence proof.
Newton method for systems: Fixed point iterations
Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.
Newton's Method: Fixed Point Iterative Approach
Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.