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Lecture
Fixed Point Method: Nonlinear Equations
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Fixed Point Methods
Explores fixed point methods for function solutions and non-linear systems.
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Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.
Fixed Point Method: Proof
Explores the fixed point method for nonlinear equations and its convergence proof.
Fixed-Point Methods and Newton-Raphson
Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.
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Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
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Explores iterative methods for solving linear systems with a focus on error control.
Fixed Point Methods: Non-linear Equations Solution
Explores fixed point methods for non-linear equations and dynamic models in MATLAB.
Newton's Method: Convergence Analysis
Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
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Focuses on fixed points in graph theory and their implications in algorithms and analysis.