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Lecture
Iterative Methods for Linear Equations
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Iterative Methods for Linear Equations
Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.
Linear Systems: Iterative Methods
Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.
Iterative Methods for Linear Equations
Introduces iterative methods for linear equations, convergence criteria, gradient of quadratic forms, and classical force fields in complex atomistic systems.
Iterative Methods for Linear Equations
Explores iterative methods for linear equations, including Jacobi and Gauss-Seidel methods, convergence criteria, and the conjugate gradient method.
Conjugate Gradient Method: Iterative Optimization
Covers the conjugate gradient method, stopping criteria, and convergence properties in iterative optimization.
Direct and Iterative Methods for Linear Equations
Explores direct and iterative methods for solving linear equations, emphasizing symmetric matrices and computational cost.
Eigenvalues and Optimization: Numerical Analysis Techniques
Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.
Regression & Systemed Lineaires
Covers the principles of regression and linear systems, focusing on iterative methods.
Newton's Method: Convergence and Criteria
Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.
Lipschitz continuous Hessian and Newton's method
Explores the convergence of Newton's method and the CG algorithm for solving linear equations.