Trace ... ... Determinant


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c00b.c
/* ------------------------------------ */
/*  Save as :  c00b.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RA        R3          
/* ------------------------------------ */
void fun(void)
{
double **A         = rsymmetric_mR(i_mR(RA,RA),999.);

double **EigsVector=               i_mR(RA,RA);
double **T_EigsVector=             i_mR(RA,RA);
double **EigsValues=               i_mR(RA,RA);

double **T_EigsVectorA=            i_mR(RA,RA);

  clrscrn(); 
  printf(" A :");
  p_mR(A,S10,P4,C6);
      
  eigs_V_mR(A,EigsVector);  
  transpose_mR(EigsVector,T_EigsVector);
     
  mul_mR(T_EigsVector,A,T_EigsVectorA);
  mul_mR(T_EigsVectorA,EigsVector,EigsValues);
  
  printf(" EigsValues = T_EigsVector * A * EigsVector");
  p_mR(EigsValues,S10,P4,C6);  
    
  printf(" trace_R(A) \t\t= %10.1f\n",      trace_R(A));
  printf(" trace_R(EigsValues) \t= %10.1f\n",trace_R(EigsValues));    
    
  f_mR(A);
  
  f_mR(EigsVector);
  f_mR(T_EigsVector);
   
  f_mR(EigsValues);
   
  f_mR(T_EigsVectorA);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun();

} while(stop_w());

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


Exemple de sortie écran :
/* ------------------------------------ */
 A :
 +698.0000  -951.0000  -800.0000 
 -951.0000  +995.0000  +868.0000 
 -800.0000  +868.0000   +11.0000 

 EigsValues = T_EigsVector * A * EigsVector
+2393.3218    -0.0000    -0.0000 
   -0.0000  -576.4242    +0.0000 
   -0.0000    -0.0000  -112.8977 

 trace_R(A) 		    =     1704.0
 trace_R(EigsValues) 	=     1704.0

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