Linear Algebra and the C Language/a075


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c00f.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RA R3
#define   CA C3
#define   Cb C3
/* ------------------------------------ */
int main(void)
{
double at[RA*CA]={
     +10,     -150,     -148, 
    +207,     -215,     +997, 
    -858,     +803,     +289  
};

double **A  = ca_A_mR(at,i_mR(RA,CA));
double **b  =  eye_mR(   i_mR(RA,Cb));
double **Ab =  i_Abr_Ac_bc_mR(RA,CA,Cb);

double **invA = i_mR(RA,CA);

  clrscrn();
  printf(" A :");
  p_mR(A,S8,P0,C6);

  printf("   b : ID :");
  p_mR(b,S8,P0,C6);
  stop();
  
  clrscrn();  
  printf(" Ab :");
  c_A_b_Ab_mR(A,b,Ab);
  p_mR(Ab,S8,P0,C6);
  printf("  gj_TP_mR(Ab) :");  
  gj_TP_mR(Ab);
  pE_mR(Ab,S12,P4,C6);;
  stop();
  
  clrscrn(); 
  printf(" Copy/Paste into the octave window.\n\n");
  p_Octave_mR(A,"A",P0);
  printf("format short e\n");
  printf(" inv(A)\n\n");

  printf(" invA :                      c_Inv_A_mR(Ab,invA);");  
  c_Inv_A_mR(Ab,invA);
  pE_mR(invA,S12,P4,C6);
  
  stop();
  
  f_mR(invA);
  f_mR(Ab);
  f_mR(b);
  f_mR(A);

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


Screen output example:

 A :
     +10     -150     -148 
    +207     -215     +997 
    -858     +803     +289 

   b : ID :
      +1       +0       +0 
      +0       +1       +0 
      +0       +0       +1 

 Press return to continue. 


 Ab :
     +10     -150     -148       +1       +0       +0 
    +207     -215     +997       +0       +1       +0 
    -858     +803     +289       +0       +0       +1 

  gj_TP_mR(Ab) :
 +1.0000e+00  +0.0000e+00  -0.0000e+00  -6.5676e-03  -5.7471e-04  -1.3807e-03 
 -0.0000e+00  +1.0000e+00  -0.0000e+00  -6.9674e-03  -9.4468e-04  -3.0912e-04 
 +0.0000e+00  +0.0000e+00  +1.0000e+00  -1.3892e-04  +9.1861e-04  +2.2000e-04 

 Press return to continue. 


 Copy/Paste into the octave window.

 A=[
+10,-150,-148;
+207,-215,+997;
-858,+803,+289]

format short e
 inv(A)

 invA :                      c_Inv_A_mR(Ab,invA);
 -6.5676e-03  -5.7471e-04  -1.3807e-03 
 -6.9674e-03  -9.4468e-04  -3.0912e-04 
 -1.3892e-04  +9.1861e-04  +2.2000e-04 

 Press return to continue.