Mathc matrices/c12an7

Application

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	cgn6f.c

/* ------------------------------------ */
/*  Save as :    cgn6f.c                */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r,int c)
{
double **B       = r_mR(i_mR(c,r),9.);

double **B_T     = transpose_mR(B,i_mR(r,c));

double **U_TB    = i_mR(r,r);             /* rc cr*/


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

double **S       = i_mR(r,r);
double **S_T     = i_mR(r,r);
double **invS_T  = i_mR(r,r);
double **U_T     = i_mR(r,c);

double **VS_T    = i_mR(r,r);     /* rr rr                  */
double **Pinv    = i_mR(r,c);     /* rr rr rc  V*invS_T*U_T */

double **PinvB   = i_mR(r,r);     /* rr rr rc cr            */

  clrscrn();
  printf(" Copy/Past into the octave windows \n\n\n");
  p_Octave_mR(B,"B",P2);
  printf("pinv(B)\n\n\n");
  stop();

  clrscrn();    
  svd_U_Rn_mR(B_T,U);    
  svd_V_Rn_mR(B_T,V);  

 /* S = U_T * B * V */ 
  transpose_mR( U,U_T);
  mul_mR(U_T,B,U_TB);
  mul_mR(U_TB,V,S);
  
  transpose_mR(S,S_T);
  inv_svd_mR(S_T,invS_T);

 /* PseudoInverse = V * invS_T * U_T */  
  mul_mR(V,invS_T,VS_T);
  mul_mR(VS_T,U_T,Pinv);
  
  printf(" PseudoInverse = V * invS_T * U_T "); 
  p_mR(Pinv,S10,P6,C6);  
  
  printf(" Ide = PseudoInverse * B ");   
  mul_mR(Pinv,B,PinvB); 
  p_mR(PinvB,S10,P6,C10);   
    
  f_mR(B);
  f_mR(B_T);
  
  f_mR(U_TB); 
  
  f_mR(U);
  f_mR(V);  
   
  f_mR(S); 
  f_mR(S_T);
  f_mR(invS_T);
   
  f_mR(U_T);  
  f_mR(VS_T);  
  
  f_mR(Pinv);
  f_mR(PinvB); 
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

int i;

do
{
  i = rp_I(R3)+R1;
  
  fun(i,i+R6);

} while(stop_w());

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

Exemple de sortie écran :

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


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

pinv(B)


 Press return to continue. 


 ------------------------------------ 
 PseudoInverse = V * invS_T * U_T 
 +0.006101  -0.019688  -0.059065  +0.014835  -0.021871  +0.023971 
 +0.023571  -0.015973  -0.047918  -0.008233  -0.014862  -0.015619 
 -0.028550  -0.002605  -0.007815  +0.017627  +0.021068  -0.034043 

 -0.006148  +0.012539  +0.013262 
 -0.022179  +0.032607  -0.025217 
 +0.005347  +0.021555  +0.009605 

 Ide = PseudoInverse * B 
 +1.000000  +0.000000  -0.000000 
 -0.000000  +1.000000  -0.000000 
 +0.000000  -0.000000  +1.000000 


 Press return to continue
 Press X      to stop