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Lecture
Decomposition LU: Example
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Construction of an Iterative Method
Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.
Construction of an Iterative Method
Covers the construction of an iterative method for linear systems by decomposing a matrix A into P, T, and P_A.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Matrix Decompositions: LU, Cholesky, QR, Eigendecomposition
Explores matrix decompositions for solving linear systems and simulating dynamics.
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Covers the QR factorization of a matrix A into Q and R.
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Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.