Mathc matrices/01x

Matrices triangulaires

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00a.c

/* ------------------------------------ */
/*  Save as :  c00a.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **A      = rdiag_mR(i_mR(r,r),9.);
double **Q      =          i_mR(r,r);
double **R      =          i_mR(r,r);

  clrscrn();
  printf(" A :");
  P_mR(A,S3,P0,C4); 

  printf(" Copy/Past into the octave windows \n\n");
  p_Octave_mR(A,"a",P0);
  printf(" [Q, R] = qr (a,0) \n\n");
  stop();
 
  clrscrn();
  QR_mR(A,Q,R);    
  printf(" Q :");
  p_mR(Q,S8,P3,C4);  
  printf(" R :");
  p_mR(R,S8,P3,C4);
  stop();
  
  clrscrn();
  printf(" A :");
  p_mR(A,S3,P0,C4); 
  
  printf(" A = Q * R  :");  
  mul_mR(Q,R, A);
  p_mR(A,S8,P3,C4);  
  
  f_mR(A);
  f_mR(Q);
  f_mR(R);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun(rp_I(R3)+R1);

} while(stop_w());

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

Exemple de sortie écran :

 A :
 -6,  +0,  +0,  +0, 
 +0,  +7,  +0,  +0, 
 +0,  +0,  -8,  +0, 
 +0,  +0,  +0,  -8  

 Copy/Past into the octave windows 

 a=[
-6,+0,+0,+0;
+0,+7,+0,+0;
+0,+0,-8,+0;
+0,+0,+0,-8]

 [Q, R] = qr (a,0) 

 Press return to continue. 


 Q :
  -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 

 R :
  +6.000   +0.000   +0.000   +0.000 
  +0.000   +7.000   +0.000   +0.000 
  +0.000   +0.000   +8.000   +0.000 
  +0.000   +0.000   +0.000   +8.000 

 Press return to continue. 


 A :
 -6  +0  +0  +0 
 +0  +7  +0  +0 
 +0  +0  -8  +0 
 +0  +0  +0  -8 

 A = Q * R  :
  -6.000   +0.000   +0.000   +0.000 
  +0.000   +7.000   +0.000   +0.000 
  +0.000   +0.000   -8.000   +0.000 
  +0.000   +0.000   +0.000   -8.000 


 Press   return to continue
 Press X return to stop