Mathc complexes/039

Application

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define FACTOR_E    +1.E-4         
#define RCA          RC6 
#define EVALUE       RC1       
/* ------------------------------------ */
void fun(void)
{                          
double a[RCA*(RCA*C2)] ={   
+23.037247782,-0.000000000, -9.054210143,-4.760094043, +7.055780246,-8.116625940, +5.837328527,+3.181102856, -5.497293954,+1.987290486, -3.853659006,-3.688738932, 
-9.054210143,+4.760094043, +21.661298903,+0.000000000, -0.063767253,+2.540467712, -0.356099425,+12.951777333, -0.578233130,+5.883310886, +7.278478707,-7.059870759, 
+7.055780246,+8.116625940, -0.063767253,-2.540467712, +41.444943135,-0.000000000, -11.011924524,-22.763984410, +4.447732552,-27.866895323, +1.844442206,-1.924521124, 
+5.837328527,-3.181102856, -0.356099425,-12.951777333, -11.011924524,+22.763984410, +42.110215120,+0.000000000, +20.713304065,+9.756936697, -11.927657780,-5.975712843, 
-5.497293954,-1.987290486, -0.578233130,-5.883310886, +4.447732552,+27.866895323, +20.713304065,-9.756936697, +42.740823156,+0.000000000, +0.112009750,+7.491403896, 
-3.853659006,+3.688738932, +7.278478707,+7.059870759, +1.844442206,+1.924521124, -11.927657780,+5.975712843, +0.112009750,-7.491403896, +34.005471906,-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, S13,P9, S13,P9, C2);  
  
         zmul_mZ(i_Z(EValue[EVALUE][C1],EValue[EVALUE][C2]),Ide,zIde);  
        MmnsD_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);
  stop();
  
  clrscrn();     
  printf(" V%d :",EVALUE);
  P_mZ(V, S6,P9, S8,P9, C4); 
  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 :
+23.037247782 -0.000000000i  -9.054210143 -4.760094043i 
 -9.054210143 +4.760094043i +21.661298903 +0.000000000i 
 +7.055780246 +8.116625940i  -0.063767253 -2.540467712i 
 +5.837328527 -3.181102856i  -0.356099425-12.951777333i 
 -5.497293954 -1.987290486i  -0.578233130 -5.883310886i 
 -3.853659006 +3.688738932i  +7.278478707 +7.059870759i 

 +7.055780246 -8.116625940i  +5.837328527 +3.181102856i 
 -0.063767253 +2.540467712i  -0.356099425+12.951777333i 
+41.444943135 -0.000000000i -11.011924524-22.763984410i 
-11.011924524+22.763984410i +42.110215120 +0.000000000i 
 +4.447732552+27.866895323i +20.713304065 -9.756936697i 
 +1.844442206 +1.924521124i -11.927657780 +5.975712843i 

 -5.497293954 +1.987290486i  -3.853659006 -3.688738932i 
 -0.578233130 +5.883310886i  +7.278478707 -7.059870759i 
 +4.447732552-27.866895323i  +1.844442206 -1.924521124i 
+20.713304065 +9.756936697i -11.927657780 -5.975712843i 
+42.740823156 +0.000000000i  +0.112009750 +7.491403896i 
 +0.112009750 -7.491403896i +34.005471906 -0.000000000i 

 Press return to continue. 


 V1 :
+0.047224828,-0.030542,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan, 
-0.035751335,-0.135037,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan, 
+0.278754230,+0.485735,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan, 
-0.561091150,+0.051858,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan, 
-0.459824934,+0.336731,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan, 
+0.146090904,+0.000000,   -nan,    -nan,   -nan,    -nan,   -nan,    -nan  

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


 Press return to continue.