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Lecture
Fixed Point Methods
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Related lectures (29)
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Newton's Method: Fixed Point Iterative Approach
Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.
Fixed-Point Methods and Newton-Raphson
Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.
The Banach Fixed Point Theorem
Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Nonlinear Equations: Fixed-Point Methods, High-Order
Covers fixed-point methods and high-order techniques for solving nonlinear equations.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Advanced Analysis II: Homogeneous ODEs and Banach Spaces
Explores the resolution of ODEs and the Banach fixed-point theorem.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Fixed Point Method: Global Convergence
Explores the fixed point method for global convergence in solving nonlinear equations.