petite correction sur gauss

166 days ago by mhbahichem

import numpy as np A=np.array([[11.,2.,3.,4.],[5.,6.,7.,108.],[10.,11.,12.,13.],[34.,45.,46.,57.]]) b=np.array([2.,3.,4.,5.]) def system_linear(A,b): N=A.shape[0] #defini la taille de la matrice(condition sur N) for j in range(0,N-1): pivot=A[j,j] for i in range(j+1,N): b[i]=b[i]-(A[i,j]/pivot)*b[j] #modification de l'element de b A[i,:]=A[i,:]-(A[i,j]/pivot)*A[j,:] #modification d'une ligne de matrice sol=b/A.diagonal() return sol system_linear(A,b) 
       
array([ 0.18181818,  0.41071429,  1.78      , -0.01176471])
array([ 0.18181818,  0.41071429,  1.78      , -0.01176471])
       
array([[  11.        ,    2.        ,    3.        ,    4.        ],
       [   0.        ,    5.09090909,    5.63636364,  106.18181818],
       [   0.        ,    0.        ,   -0.89285714, -182.14285714],
       [   0.        ,    0.        ,    0.        ,  510.        ]])
array([[  11.        ,    2.        ,    3.        ,    4.        ],
       [   0.        ,    5.09090909,    5.63636364,  106.18181818],
       [   0.        ,    0.        ,   -0.89285714, -182.14285714],
       [   0.        ,    0.        ,    0.        ,  510.        ]])