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Related lectures (29)
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Least Squares Solutions
Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Factorisation QR: Gram-Schmidt Process
Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.
QR Factorization and Least Squares
Explores QR factorization and the least squares method for solving systems of equations.
Matrix Decompositions: LU, Cholesky, QR, Eigendecomposition
Explores matrix decompositions, algorithms, computational complexity, and predator-prey interactions in numerical linear algebra.
Spectral Decomposition
Explores spectral and singular value decompositions of matrices.
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.
Singular Value Decomposition
Covers the Singular Value Decomposition (SVD) of a matrix and its applications.
LU Decomposition: Linear Systems Applications
Covers the LU decomposition method applied to linear systems, presenting the system in two steps.