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Brouwer fixed-point theorem
Formal sciences
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Analysis
Differential anaysis
Related lectures (31)
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Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.
Numerical Methods: Fixed Point and Picard Method
Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Fixed Point Method: Convergence and Nonlinear Equations
Covers the fixed point method for solving nonlinear equations and discusses convergence properties.
Advanced Analysis II: Homogeneous ODEs and Banach Spaces
Explores the resolution of ODEs and the Banach fixed-point theorem.
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.
Dependence of Lipschitz by Support
Explores Lipschitz dependence supported by examples and theoretical hypotheses, emphasizing global unique solutions.
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 and Newton-Raphson
Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.