Calcul Scientifique
Objectives
Understand, know how to evaluate (complexity, efficiency, precision) and use the basic tools of numerical linear algebra.
Description
Singular value decomposition, pseudo-inverse of a matrix and applications.
Notions of numerical errors (direct and inverse errors) and conditioning of a matrix.
Dense matrix factorization for solving linear systems: LU, Cholesky, QR.
Iterative algorithms for solving linear systems: relaxation methods (Jacobi, Gauss-Seidel), steepest descent and conjugate gradient.
Algorithms for the search of eigenvalues/vectors : iterated power, Jacobi algorithm.
Targeted skills
Ability to evaluate basic numerical tools for computation and preprocessing of data.
Session 1 ou session unique - Contrôle des connaissances
Modalité | Nature | Coefficient | Remarques |
---|---|---|---|
CC (contrôle continu) | Oral/Ecrit | 100% | Examen Calcul Scientifique |
Session 2 - Contrôle des connaissances
Modalité | Nature | Coefficient | Remarques |
---|---|---|---|
CC (contrôle continu) | Oral/Ecrit | 100% | Examen Calcul Scientifique |