Mathc complexes/a323

Décomposition d'une matrice en éléments propres

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	c00b.c

/* ------------------------------------ */
/*  save as :   c00b.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define FACTOR_E        +1.E-4   
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int rc)
{
double **A    = rcsymmetric_mZ(              i_mZ(rc,rc),99);
double **A_T  =  ctranspose_mZ(A,            i_mZ(rc,rc));

double **U    =         X_U_mZ(A_T,          i_mZ(rc,rc),FACTOR_E);
double **U_T  =  ctranspose_mZ(U,            i_mZ(rc,rc));

double **U_TA =         mul_mZ(U_T, A,       i_mZ(rc,rc));
double **X    =         mul_mZ(U_TA, U,      i_mZ(rc,rc));
double **XC1  =     c_D_UC1_mZ(X,            i_mZ(rc,C1)); 

  clrscrn();
  printf(" Copy/Past into the octave windows \n\n\n");
  p_Octave_mZ(A,"A",P0,P0);  
  printf(" EigenValues  = eigs (A,%d) \n\n\n",rc);
  
  printf(" A :");
  p_mZ(A, S8,P0, S7,P0, C4);
  stop(); 
  
  clrscrn();    
  printf(" U :");
  p_mZ(U, S10,P4, S8,P4, C4);

  printf(" X = U_T * A * U :");
  p_mZ(X, S11,P3, S7,P3, C4);

  printf(" EigenValues :"); 
  p_mZ(XC1, S12,P4, S9,P4, C4);
  
  f_mZ(A);   
  f_mZ(A_T);
  
  f_mZ(U);
  f_mZ(U_T);   
  f_mZ(U_TA);
  f_mZ(X);
  f_mZ(XC1);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
    fun(R4);
    
} while(stop_w());

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

Exemple de sortie écran :

 Copy/Past into the octave windows 


 A=[
+16138+0*i,+2203-2143*i,-794+10878*i,+10430+2650*i;
+2203+2143*i,+25472+0*i,-9632-9839*i,-10103-2575*i;
-794-10878*i,-9632+9839*i,+25928+0*i,+15808-14423*i;
+10430-2650*i,-10103+2575*i,+15808+14423*i,+34542+0*i]

 EigenValues  = eigs (A,4) 


 A :
  +16138     +0i    +2203  -2143i     -794 +10878i   +10430  +2650i 
   +2203  +2143i   +25472     +0i    -9632  -9839i   -10103  -2575i 
    -794 -10878i    -9632  +9839i   +25928     +0i   +15808 -14423i 
  +10430  -2650i   -10103  +2575i   +15808 +14423i   +34542     +0i 

 Press return to continue. 


 U :
   +0.2126 +0.1566i    +0.4637 -0.3074i    -0.4170 -0.3233i    -0.2144 +0.5445i 
   -0.3838 -0.0292i    +0.6120 -0.4106i    +0.1123 +0.4653i    -0.0894 -0.2677i 
   +0.4231 -0.4098i    -0.1249 +0.0324i    -0.0005 +0.4229i    -0.6735 +0.0628i 
   +0.6597 +0.0000i    +0.3616 -0.0000i    +0.5600 +0.0000i    +0.3470 -0.0000i 

 X = U_T * A * U :
 +63620.091 +0.000i      +0.000 -0.000i      +0.000 +0.000i      +0.000 -0.000i 
     +0.000 +0.000i  +24735.159 -0.000i      +0.000 +0.000i      +0.000 -0.000i 
     +0.000 -0.000i      +0.000 -0.000i  +10176.425 -0.000i      -0.000 -0.000i 
     -0.000 +0.000i      +0.000 +0.000i      -0.000 +0.000i   +3548.325 +0.000i 

 EigenValues :
 +63620.0908  +0.0000i 
 +24735.1590  -0.0000i 
 +10176.4250  -0.0000i 
  +3548.3253  +0.0000i 


 Press   return to continue
 Press X return to stop