Mathc matrices/c16a

Application

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	c01.c

/* ------------------------------------ */
/*  Save as :   c01.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
int main(void)
{
double ab[R4*C7]={
    +1,     -3,     +4,     -2,    +5,    +4,  0,
    +2,     -6,     +9,     -1,    +8,    +2,  0,
    +2,     -6,     +9,     -1,    +9,    +7,  0, 
    -1,      3,     -4,      2,    -5,    -4,  0,  
};


double **Ab = ca_A_mR(ab,  i_Abr_Ac_bc_mR(R4,C6,C1));
double **A  = c_Ab_A_mR(Ab,i_mR(R4,C6));
double **b  = c_Ab_b_mR(Ab,i_mR(R4,C1));

double **Ab_free = i_Abr_Ac_bc_mR(csize_A_R(Ab),csize_A_R(Ab),C1);

  clrscrn();
  printf(" A :");
  p_mR(A,S6,P1,C7);
  printf(" b :");
  p_mR(b,S6,P1,C7);
  printf(" Ab :");
  p_mR(Ab,S6,P1,C7);
  stop();

  clrscrn();
  printf(" Copy/Past into the octave window.\n\n");
  p_Octave_mR(Ab,"Ab",P1);
  printf("\n rref(Ab,.00000000001)\n\n");
  printf(" Ab :  gj_PP_mR(Ab,NO) ");
  gj_PP_mR(Ab,NO);
  p_mR(Ab,S6,P1,C8);
  stop();

  clrscrn(); 
  printf("  Ab :");
  p_mR(Ab,S6,P1,C8); 
  printf(" Ab_free : ");  
  p_mR(Ab_free,S6,P1,C8);
  stop();

  f_mR(Ab);
  f_mR(b);
  f_mR(A);
  
  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Créons la matrice Ab_free par étapes :

La matrice A de Ab_free doit être carré

La fonction csize_A_R(Ab); donne le nombre de colonnes de A dans Ab. Ici C6 colonnes

Ab_free[R6][C6+C1]     C1 c'est la colonne pour b

Exemple de sortie écran :

 ------------------------------------ 
 A :
  +1.0   -3.0   +4.0   -2.0   +5.0   +4.0 
  +2.0   -6.0   +9.0   -1.0   +8.0   +2.0 
  +2.0   -6.0   +9.0   -1.0   +9.0   +7.0 
  -1.0   +3.0   -4.0   +2.0   -5.0   -4.0 

 b :
  +0.0 
  +0.0 
  +0.0 
  +0.0 

 Ab :
  +1.0   -3.0   +4.0   -2.0   +5.0   +4.0   +0.0 
  +2.0   -6.0   +9.0   -1.0   +8.0   +2.0   +0.0 
  +2.0   -6.0   +9.0   -1.0   +9.0   +7.0   +0.0 
  -1.0   +3.0   -4.0   +2.0   -5.0   -4.0   +0.0 

 Press return to continue. 


 Copy/Past into the octave window.

 Ab=[
+1.0,-3.0,+4.0,-2.0,+5.0,+4.0,+0.0;
+2.0,-6.0,+9.0,-1.0,+8.0,+2.0,+0.0;
+2.0,-6.0,+9.0,-1.0,+9.0,+7.0,+0.0;
-1.0,+3.0,-4.0,+2.0,-5.0,-4.0,+0.0]

 rref(Ab,.00000000001)

 Ab :  gj_PP_mR(Ab,NO) 
  +1.0   -3.0   +4.5   -0.5   +4.0   +1.0   +0.0 
  -0.0   -0.0   +1.0   +3.0   -2.0   -6.0   -0.0 
  +0.0   +0.0   +0.0   +0.0   +1.0   +5.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 

 Press return to continue. 


  Ab :
  +1.0   -3.0   +4.5   -0.5   +4.0   +1.0   +0.0 
  -0.0   -0.0   +1.0   +3.0   -2.0   -6.0   -0.0 
  +0.0   +0.0   +0.0   +0.0   +1.0   +5.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 

 Ab_free : 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 
  +0.0   +0.0   +0.0   +0.0   +0.0   +0.0   +0.0 

 Press return to continue.