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Mathc complexes/02x

Un livre de Wikilivres.


Application


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c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define FACTOR_E    +1.E-1         
#define RCA          RC3 
#define EVALUE       RC1       
/* ------------------------------------ */
void fun(void)
{                          
double a[RCA*(RCA*C2)] ={   
+0.651225366,+0.000000000,-0.158846132,+0.418635744,-0.237811929,-0.039640695,
-0.158846132,-0.418635744,+1.100413236,+0.000000000,+0.151406646,-0.788515806,
-0.237811929,+0.039640695,+0.151406646,+0.788515806,+1.248361398,+0.000000000
};
                       
double **A        = ca_A_mZ(a,           i_mZ(RCA,RCA));
double **sA       = smul_mZ(FACTOR_E, A, i_mZ(RCA,RCA));
double **EValue   = eigs_mZ(         sA, i_mZ(RCA,RCA));
double **V        =                      i_mZ(RCA,RCA);

double **Ide      =  eye_mZ(             i_mZ(RCA,RCA));
double **zIde     =                      i_mZ(RCA,RCA);
double **sAmnszIde =                     i_mZ(RCA,RCA);

double **Ab       =            i_Abr_Ac_bc_mZ(RCA,RCA,C1);
double **b        =                      i_mZ(    RCA,C1);
double **Ab_free  =            i_Abr_Ac_bc_mZ(RCA,RCA,C2);
double  **b_free  =                      i_mZ(    RCA,C2);

  clrscrn(); 
  printf(" A :");
  p_mZ(A, S8,P9, S6,P9, C3);  
  
         zmul_mZ(i_Z(EValue[EVALUE][C1],EValue[EVALUE][C2]),Ide,zIde);  
          sub_mZ(sA,zIde,sAmnszIde);
      
     c_A_b_Ab_mZ(sAmnszIde,b,Ab); 

  GJ_PP_FreeV_mZ(Ab,Ab_free,b_free);
    
          c_c_mZ(b_free,C2,V,EVALUE); 

    Normalize_mZ(V);
     
  printf(" V%d :",EVALUE);
  P_mZ(V, S9,P9, S8,P9, C1); 
  printf("\n");  
  stop();
              
  f_mZ(A);
  f_mZ(V);  
  f_mZ(EValue);
  
  f_mZ(Ide);
  f_mZ(zIde);
  f_mZ(sAmnszIde);
  
  f_mZ(sA);
  
  f_mZ(Ab);
  f_mZ(b);
  
  f_mZ(Ab_free);
  f_mZ(b_free);    
}
/* ------------------------------------ */
int main(void)
{
    fun();
    
  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */


Calculer un vecteur propre.


Exemple de sortie écran :
 A :
+0.651225366+0.000000000i -0.158846132+0.418635744i -0.237811929-0.039640695i 
-0.158846132-0.418635744i +1.100413236+0.000000000i +0.151406646-0.788515806i 
-0.237811929+0.039640695i +0.151406646+0.788515806i +1.248361398+0.000000000i 

 V1 :
+0.064722742,+0.107482377, 
+0.158363201,-0.672869740, 
+0.711636083,+0.000000000  

     -nan,    -nan, 
     -nan,    -nan, 
     -nan,    -nan  

     -nan,    -nan, 
     -nan,    -nan, 
     -nan,    -nan  


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