LINEAR ALGEBRA PACKAGES IN FORTRAN

The aim of these packages is not to be efficient, but to be applied in a pedagogical way

Here is the list of all packages of the depository :

• Cholesky decomposition
• QR decomposition Householder + GS
• LU decomposition
• Hessenberg decomposition
• Gram-Schmidt orthonormalization
• Tridiagonalisation matrix Householder + Givens
• Matrix inversion
• RQ process diagonalization + shift method
• Jacobi diagonalization
• Iterative Power diagonalization + shift method
• Eigenvectors using iterative method
• A.x = b solution with residual improvement

Next step :

• SVD factorization
• Lanczos + Davidson diagonalization

All rights are strictly reserved to Quentin Marecat For any report or suggestion, please contact quentin.marecat@etu.umontpellier.fr or on my github page @Quentin-Marecat