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Lecture
Solving the linear system: Direct methods
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Linear Systems: LU Factorization with Pivoting
Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.
Iterative Methods: Error Control and Linear Systems Resolution
Explores iterative methods for solving linear systems with a focus on error control.
Matrix Computations: Complexity and Algorithms
Explores matrix computation complexity, known algorithms, and structured solvers' impact.
Linear Systems: Convergence and Methods
Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.
Numerical Analysis: Direct Methods for Linear Systems
Covers direct methods for solving linear systems in numerical analysis.
Iterative Methods: Linear Systems
Explores iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods, Cholesky factorization, and preconditioned conjugate gradient.
Linear Systems: Direct Methods
Explores linear systems, Gaussian elimination, LU decomposition, and matrix types.
Solving the linear system - Nonlinearity
Explores solving linear systems and addressing nonlinearity in numerical flow simulations using multigrid and linearization methods.
Nonlinearity: Methods and Examples
Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.
Construction of an Iterative Method
Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.