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Mathc matrices/c12fn

Un livre de Wikilivres.


Application


Installer et compiler ces fichiers dans votre répertoire de travail.


c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define FACTOR_E        +1.E-4         
/* ------------------------------------ */
void fun(int r,int c)
{
double **B       = r_mR(i_mR(c,r),9999.);
double **Pinv    =      i_mR(r,c);           
double **PinvB   =      i_mR(r,r);           

  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();
  printf(" Pinv = V * invS_T * U_T ");
  Pinv_Rn_mR(B,Pinv,FACTOR_E); 
  pE_mR(Pinv,S12,P4,C10);    
  
  printf(" Ide = PseudoInverse * B ");   
  mul_mR(Pinv,B,PinvB); 
  p_mR(PinvB,S10,P6,C10);   
    
  f_mR(B);  
  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+R0);

} while(stop_w());

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


Cet version fonctionne quand il y a plus de lignes que de colonnes..

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


Exemple de sortie écran :

 Copy/Past into the octave windows 


 B=[
-5864.00,+2923.00,+9310.00;
-8082.00,+2697.00,+435.00;
+2940.00,+3339.00,-7444.00]

pinv(B)


 Press return to continue. 


 Pinv = V * invS_T * U_T 
 +5.8041e-05  -1.4247e-04  +6.4264e-05 
 +1.5875e-04  -4.3890e-05  +1.9597e-04 
 +9.4128e-05  -7.5954e-05  -2.1051e-05 

 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 return to stop