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Lecture
Fixed Point Method: Global Convergence
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Nonlinear Equations: Global Convergence of Fixed Point Method
Explores the global convergence of the fixed point method for nonlinear equations.
Advanced Analysis II: Homogeneous ODEs and Banach Spaces
Explores the resolution of ODEs and the Banach fixed-point theorem.
Iterative Methods for Nonlinear Equations
Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.
Newton's Method: Convergence Analysis
Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.
Nonlinear Equations: Fixed Point Method
Covers the topic of nonlinear equations and the fixed point method.
Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Fixed Point Methods: Non-linear Equations Solution
Explores fixed point methods for non-linear equations and dynamic models in MATLAB.
Local Inverse Theorems
Covers the local inverse theorem, diffeomorphisms, contraction mappings, and the Jacobian determinant.
Fixed Point Method: Nonlinear Equations
Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.