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Lecture
Solving the linear system: Iterative methods
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Vectorization in Python: Efficient Computation with Numpy
Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.
Gauss-Seidel Method
Covers the Gauss-Seidel method for solving linear systems iteratively with progressive substitution.
Iterative Methods
Explores iterative methods for solving linear systems of equations, including Jacobi and Gauss-Seidel.
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Explores direct and iterative methods for solving linear equations, emphasizing symmetric matrices and computational cost.
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Explores matrix inversion, pivoting, and iterative methods for solving linear systems of equations.
Linear Systems Convergence
Covers the necessary and sufficient conditions for convergence in linear iterative systems.
Eigenvalues and Eigenvectors
Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.
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Explores the Jacobi method for linear systems, emphasizing convergence conditions and matrix properties.
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Covers transient stability, power flow analysis, and load flow methods in power systems.
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Covers the Gauss-Seidel method for solving linear systems through progressive substitution and iterative processes.
