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Lecture
Convergence Analysis: Iterative Methods
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Related lectures (29)
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Nonlinear Equations: Fixed Point Method Convergence
Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.
Convergence of Fixed Point Methods
Explores the convergence of fixed point methods and the implications of different convergence rates.
Iterative Methods: Linear Systems
Covers iterative methods for solving linear systems and discusses convergence criteria and spectral radius.
Numerical Analysis: Linear Systems
Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.
Newton's Method: Convergence and Criteria
Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Jacobi and Gauss-Seidel methods
Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Iterative Methods for Nonlinear Equations
Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.
Iterative Methods: Error Control and Linear Systems Resolution
Explores iterative methods for solving linear systems with a focus on error control.