LU decomposition

Version 1.1.1 (4,23 ko) par Meysam Mahooti
Lower–Upper (LU) decomposition or factorization to solve the set of n linear equations Ax=b.
5.0
(2)
1K téléchargements
Mise à jour 17 oct. 2022

Afficher la licence

LU decomposition (factorization) of a nonsingular (square) matrix A means expressing the matrix as the multiplication of a lower triangular matrix L and an upper triangular matrix U, where a lower/upper triangular matrix is a matrix having no nonzero elements above/below the diagonal. For the case where some row switching operation is needed like in the Gauss elimination, we include a permutation matrix P representing the necessary row switching operation(s) to write the LU decomposition as P A = L U.
Reference:
Applied Numerical Methods Using MATLAB®
Author(s): Won Young Yang, Wenwu Cao, Tae‐Sang Chung, John Morris
First published:14 January 2005
Print ISBN:9780471698333 |Online ISBN:9780471705192 |DOI:10.1002/0471705195
Copyright © 2005 John Wiley & Sons, Inc.

Citation pour cette source

Meysam Mahooti (2026). LU decomposition (https://fr.mathworks.com/matlabcentral/fileexchange/73481-lu-decomposition), MATLAB Central File Exchange. Extrait(e) le .

Compatibilité avec les versions de MATLAB
Créé avec R2021b
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
Catégories
En savoir plus sur Matrix Decomposition dans Help Center et MATLAB Answers
Tags Ajouter des tags

LU_Decomposition 1.1.1

Version Publié le Notes de version
1.1.1

LU_Decomp.m and LU_BackSub.m were added.
1.1.0

lu_dcmp.m is modified.
1.0.0