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Lecture
Gauss-Seidel Method
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Jacobi and Gauss-Seidel methods
Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
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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.
Linear Systems: Iterative Methods
Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Linear Systems: LU Factorization with Pivoting
Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.
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Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.
Numerical Analysis: Direct Methods for Linear Systems
Covers direct methods for solving linear systems in numerical analysis.
Linear Systems Resolution
Summarizes methods for resolving linear systems, including Gaussian elimination and LU decomposition.