Mathc matrices/c12b2

Application

Installer ce fichier dans votre répertoire de travail.

	ccn1a.c

/* ------------------------------------ */
/*  Save as :   ccn1a.c                 */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r,int c)
{
double **A     = r_mR(i_mR(r,c),9.);
double **A_T   =      i_mR(c,r);

double **S = i_mR(r,C1);
double **U = i_mR(r,r);
double **V = i_mR(c,c);

double **U_T = i_mR(r,r);

double **U_TA = i_mR(r,c); /* rr rc     U_TA  */
double **S_2  = i_mR(r,c); /* rr rc cc  U_TAV */


  clrscrn();  
  printf(" Copy/Past into the octave windows \n\n\n");
  p_Octave_mR(A,"A",P2);
  printf(" [U, S, V] =svd (A,10)\n\n\n");
  stop();

  clrscrn(); 
  
  transpose_mR(A,A_T);
   
  svd_U_Cn_mR(A,U);   
  svd_V_Cn_mR(A,V); 
  svds_mR(A_T,S);
  
  printf(" U :");
  p_mR(U,S5,P5,C10);   
    
  printf(" S :");
  p_mR(S,S5,P5,C10);
   
  printf(" V:");
  p_mR(V,S5,P5,C10); 
  stop();

  clrscrn();   
  
  transpose_mR( U,U_T);
  
/* S = U_T * A * V */
  mul_mR(U_T,A,U_TA);
  mul_mR(U_TA,V,S_2);
 
  printf(" S :");
  p_mR(S,S5,P5,C10);
  
  printf(" S = U_T * A * V :");
  p_mR(S_2,S10,P5,C10);  
    
    
  f_mR(A);
  f_mR(A_T);
   
  f_mR(S); 
  f_mR(S_2); 
  
  f_mR(U);
  f_mR(U_T);
  f_mR(U_TA);  
  f_mR(V); 
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

int i;

do
{
  i = rp_I(R3)+R1;
  
  fun(i,i+C1);

} while(stop_w());

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Vérifiez le résultat avec octave.

Exemple de sortie écran :

 ------------------------------------ 
 Copy/Past into the octave windows 


 A=[
-1.00,+2.00,-5.00,-5.00,+6.00,-9.00;
-1.00,+2.00,+4.00,+4.00,+2.00,-1.00;
+8.00,+2.00,+8.00,-7.00,+2.00,+6.00;
+4.00,+2.00,-1.00,-5.00,+8.00,-3.00]

 [U, S, V] =svd (A,10)


 Press return to continue. 


 ------------------------------------ 
 U :
+0.80158 +0.14441 -0.03425 -0.57918 
-0.05888 -0.03027 +0.98686 -0.14741 
-0.40403 +0.84556 -0.04976 -0.34541 
+0.43677 +0.51308 +0.14988 +0.72355 

 S :
+15.99836 
+15.79164 
+6.46741 
+2.61706 

 V:
+0.13926 -0.55109 -0.11615 +0.32766 +0.74458 -0.00000 
-0.09694 -0.18653 +0.32555 -0.26629 +0.00000 +0.88126 
+0.49458 -0.34248 +0.55211 -0.45110 -0.04187 -0.35501 
+0.22496 +0.59066 +0.57483 +0.42275 +0.29518 +0.04892 
-0.46116 -0.41805 +0.44341 +0.50731 -0.36911 -0.12921 
+0.68068 -0.14341 -0.22061 +0.42679 -0.46954 +0.27975 

 Press return to continue. 


 ------------------------------------ 
 S :
+15.99836 
+15.79164 
+6.46741 
+2.61706 

  S = U_T * A * V :
 -15.99836   +0.00000   +0.00000   +0.00000   -0.00000   -0.00000 
  -0.00000  -15.79164   -0.00000   -0.00000   -0.00000   -0.00000 
  +0.00000   +0.00000   +6.46741   +0.00000   -0.00000   -0.00000 
  +0.00000   +0.00000   -0.00000   +2.61706   +0.00000   +0.00000 


 Press return to continue
 Press X      to stop