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Lecture
Solving the linear system - Nonlinearity
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Related lectures (30)
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Iterative Methods: Error Control and Linear Systems Resolution
Explores iterative methods for solving linear systems with a focus on error control.
Iterative methods: Jacobi, Gauss-Seidel, SOR
Explores Jacobi, Gauss-Seidel, and SOR iterative methods for solving linear systems efficiently.
Iterative Methods: Linear Systems
Covers iterative methods for solving linear systems, emphasizing convergence analysis and well-chosen matrices.
The Conjugate Gradients Method (CG)
Covers the Conjugate Gradients method for solving linear systems iteratively with quadratic convergence and emphasizes the importance of linear independence among conjugate directions.
Eigenvalues and Eigenvectors
Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.
Jacobi Method: Part I
Introduces the Jacobi method for solving linear systems and determining convergence.
Iterative Methods for Linear Equations
Explores iterative methods for linear equations, including Jacobi and Gauss-Seidel methods, convergence criteria, and the conjugate gradient method.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Preconditioned Richardson Method
Covers the Preconditioned Richardson Method for solving linear systems and the impact of preconditioning on convergence.
Gauss-Seidel Method
Covers the Gauss-Seidel method for solving linear systems with triangular matrices and progressive substitution.
