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Lecture
Singular Value Decomposition, Pseudoinverse
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Singular Value Decomposition: Applications and Solutions
Explores Singular Value Decomposition, matrix solutions, and least squares regression in data analysis.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
QR Factorization: Least Squares System Resolution
Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.
Singular Value Decomposition
Explores Singular Value Decomposition, low-rank approximation, fundamental subspaces, and matrix norms.
Convex Optimization: Linear Algebra Review
Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.
Singular Value Decomposition
Covers the Singular Value Decomposition theorem and its application in decomposing matrices.
Singular Value Decomposition: Theory and Applications
Explores Singular Value Decomposition theory, linear system solutions, least squares, and data fitting concepts.
Singular Value Decomposition
Introduces Singular Value Decomposition (SVD) in linear algebra, covering matrix factorization and properties with practical examples.
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.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.