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Lecture
Fixed Point Method: Nonlinear Equations
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The Banach Fixed Point Theorem
Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Iterative Methods for Nonlinear Equations
Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.
Nonlinear Equations: Methods and Convergence
Explores high-order fixed-point methods and Newton-Raphson method for solving nonlinear equations.
Newton Method: Data Interpolation
Covers the Newton method for finding zeros of functions using data interpolation.
Fixed Point Method: Global Convergence
Explores the fixed point method for global convergence in solving nonlinear equations.
Nonlinear Equations: Fixed-Point Methods, High-Order
Covers fixed-point methods and high-order techniques for solving nonlinear equations.
Fixed Point Method: Convergence and Nonlinear Equations
Covers the fixed point method for solving nonlinear equations and discusses convergence properties.
Nonlinear Equations: Global Convergence of Fixed Point Method
Explores the global convergence of the fixed point method for nonlinear equations.