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Lecture
Fixed Point Method: Proof
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Nonlinear Equations: Fixed Point Method Convergence
Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.
Nonlinear Equations: Fixed Point Method
Covers the topic of nonlinear equations and the fixed point method.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Convergence of Fixed Point Methods
Explores the convergence of fixed point methods and the implications of different convergence rates.
Picard Method: Fixed Point Iterative Technique
Covers the Picard method for solving nonlinear equations using fixed point iteration.
Information Theory: Basics
Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
The Banach Fixed Point Theorem
Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.
Newton's Method: Convergence and Criteria
Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.
Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.