Mathc matrices/c12an6

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RB R3
#define   CB C4
/* ------------------------------------ */
void fun(void)
{
double **B   =         r_mR( i_mR(RB,CB),9.);

double **U   =                 i_mR(RB,RB);
double **UT  =                 i_mR(RB,RB);
double **UTU =                 i_mR(RB,RB);
double **V   =                 i_mR(CB,CB);
double **VT  =                 i_mR(CB,CB); 
double **VVT =                 i_mR(CB,CB);

  svd_U_Cn_mR(B,U);   
  svd_V_Cn_mR(B,V);
  
  clrscrn();  
  printf(" Copy/Past into the octave windows \n\n\n");
  p_Octave_mR(B,"B",P2);
  printf(" [U, S, V] =svd (B,10)\n\n"
         " U*U'\n"
         " V*V'\n\n");

  printf(" U :");
  p_mR(U, S5,P5,C10);   
        
  printf(" V:");
  p_mR(V, S5,P5,C10);  
  stop();  

  clrscrn();
  printf(" UT U :");
  transpose_mR(U,UT);
        mul_mR(UT,U,UTU);
          p_mR(UTU ,S10,P3,C10);
           
  printf(" U UT :");
        mul_mR(U,UT,UTU);
          p_mR(UTU ,S10,P3,C10); 
          
  printf(" V VT :");
  transpose_mR(V,VT);
        mul_mR(V,VT,VVT);
          p_mR(VVT ,S10,P3,C10); 
          
  printf(" VT V  :");
        mul_mR(VT,V,VVT);
          p_mR(VVT ,S10,P3,C10); 
  getchar();

  f_mR(B);
  f_mR(U);
  f_mR(UT);
  f_mR(UTU);
  f_mR(V); 
  f_mR(VT);
  f_mR(VVT);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun();

} while(stop_w());

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

Exemple de sortie écran :

 Copy/Past into the octave windows 


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

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

 U*U'
 V*V'

 U :
-0.67160 -0.56757 +0.47626 
+0.45704 -0.82328 -0.33663 
+0.58316 -0.00841 +0.81232 

 V:
-0.35017 -0.32418 +0.86431 -0.15893 
+0.21733 -0.39733 -0.21986 -0.86403 
-0.74511 +0.51816 -0.17750 -0.38053 
-0.52436 -0.68450 -0.41609 +0.28876 

 Press return to continue. 


 UT U :
    +1.000     -0.000     +0.000 
    -0.000     +1.000     -0.000 
    +0.000     -0.000     +1.000 

 U UT :
    +1.000     -0.000     +0.000 
    -0.000     +1.000     +0.000 
    +0.000     +0.000     +1.000 

 V VT :
    +1.000     +0.000     -0.000     +0.000 
    +0.000     +1.000     +0.000     +0.000 
    -0.000     +0.000     +1.000     +0.000 
    +0.000     +0.000     +0.000     +1.000 

 VT V  :
    +1.000     +0.000     +0.000     +0.000 
    +0.000     +1.000     -0.000     +0.000 
    +0.000     -0.000     +1.000     +0.000 
    +0.000     +0.000     +0.000     +1.000 

 Press return to continue.