Lectures related to Linear Systems Resolution

Covers the resolution of linear systems and its link to optimization problems.

Linear Systems: LU Factorization with Pivoting

Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.

Number of Solutions in Linear Systems MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Explores the number of solutions in linear systems of equations and the conditions for no solution, a unique solution, or an infinite number of solutions.

Linear Systems Resolution MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Covers the resolution of linear systems using the Gauss method to determine unique, infinite, or no solutions.

Iterative Methods: Linear Systems

Covers iterative methods for solving linear systems, emphasizing convergence analysis and well-chosen matrices.

Systems of Equations and Matrices MOOC: Linear Algebra (Part 1)

Covers systems of equations, matrices, solving examples, and consequences of invertible matrices.

Linear Recurrent Sequences Systems

Covers explicating sequences using matrices and their implications, illustrated with examples.

Linear Algebra: Systems of Equations

Explores solving systems of equations using matrices and determinants.

Matrix Representations of Linear Applications

Covers the matrix representations of linear applications and the equivalence between matrices.

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Matrix Exponential: Properties and Applications

Explores the practical calculation and properties of matrix exponentials for complex matrices, along with their applications in solving linear systems.

Jacobi Method: Part I

Introduces the Jacobi method for solving linear systems and determining convergence.

Matrix Construction and Function Manipulation

Covers tips on matrix construction and function manipulation using MATLAB.

Linear Algebra: Matrices and Operations

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Solving Linear Systems: Methods and Solutions Log in to Mediaspace to watch this video

Explores methods for solving linear systems and building solutions step by step.

Eigen Library for Linear Algebra Log in to Mediaspace to watch this video

Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.

Solving Linear Systems with Matrices Log in to Mediaspace to watch this video

Explains solving linear systems with matrices and conditions for infinite solutions.

Singular Value Decomposition: Applications and Interpretation Log in to Mediaspace to watch this video

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Linear Systems: Factorization and Cholesky Log in to Mediaspace to watch this video

Explores linear systems, Cholesky factorization, LU factorization, and matrix precision.

Linear Systems: Direct Methods Log in to Mediaspace to watch this video

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.