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Banach fixed-point theorem
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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.
Local Inverse Theorems
Covers the local inverse theorem, diffeomorphisms, contraction mappings, and the Jacobian determinant.
The Banach Fixed Point Theorem
Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.
Fixed Points in Graph Theory
Focuses on fixed points in graph theory and their implications in algorithms and analysis.
Newton method for systems: Fixed point iterations
Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
Nonlinear Equations: Global Convergence of Fixed Point Method
Explores the global convergence of the fixed point method for nonlinear equations.
Fixed Point Methods: Non-linear Equations Solution
Explores fixed point methods for non-linear equations and dynamic models in MATLAB.
Fixed Point Method: Convergence and Nonlinear Equations
Covers the fixed point method for solving nonlinear equations and discusses convergence properties.