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Lecture
Linear Systems: Factorization and Cholesky
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Related lectures (30)
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Effect of Rounding Errors in Linear Systems
Explores the effect of rounding errors in solving linear systems using the LU factorization method.
Linear Systems Resolution
Covers methods to solve linear systems with a finite number of operations.
Linear Systems Resolution
Explores LU decomposition for solving linear systems and the associativity of operations.
Linear Systems: Direct Methods
Explores linear systems, Gaussian elimination, LU decomposition, and matrix types.
Linear systems resolution
Covers the resolution of linear systems and its link to optimization problems.
Singular Value Decomposition (SVD)
Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.
Iterative Methods: Linear Systems
Explores iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods, Cholesky factorization, and preconditioned conjugate gradient.
Matrix Determinants: Properties and Calculations
Covers the properties and calculations of matrix determinants, including special cases and examples.
Linear Systems: Direct Methods
Explores linear systems, direct methods, Gauss elimination, LU decomposition, and computational complexity.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
