Mathc complexes/a52

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA              R3
#define CA              C3
#define FACTOR_E        +1.E-2   
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
int r = RA;
int c = CA;  

double a[RA*(CA*C2)] ={ 1,2,  3,4,  5,3,  
                        5,4,  1,3,  9,1,
                        7,2,  5,1,  8,3,};
                       
double **A =        ca_A_mZ(a, i_mZ(r,c));                        
double **A_T = ctranspose_mZ(A,i_mZ(c,r));
double **V =                   i_mZ(r,c);
double **U =                   i_mZ(r,c);
double **U_T =                 i_mZ(c,r); //             :c,r 
double **U_TA =                i_mZ(c,c); // c,r r,c     :c,c
double **U_TA2 =               i_mZ(c,r); // c,r         :c,r 
double **S =                   i_mZ(c,c); // c,r r,c     :c,c   S

  clrscrn();
  printf(" A :");
  p_mZ(A, S6,P2, S6,P2, C3);
      
  X_U_mZ(A_T,U,FACTOR_E);
  printf(" U :");
  p_mZ(U, S9,P4, S8,P4, C3);

  X_V_mZ(A_T,V,FACTOR_E);
  printf(" V :");
  p_mZ(V, S9,P4, S8,P4, C3); 
  
   ctranspose_mZ(U,U_T);
  
/* S = U_T * A * V */
   mul_mZ(  U_T,  A,  U_TA);        // U_TA  : c,c
     c_mZ( U_TA,     U_TA2);        // U_TA2 : c,r 
   mul_mZ(U_TA2,  V,     S);        //     V : r,c
   
   printf(" S = U_T * A * V :");
   p_mZ(S, S9,P4, S8,P4, C3);
   stop();
   
   f_mZ(A);  
   f_mZ(A_T);
   f_mZ(V);  
   f_mZ(U);
   f_mZ(U_T);  
   f_mZ(U_TA);
   f_mZ(U_TA2);  
   f_mZ(S);    
    
  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Diagonaliser une matrice carrée


Exemple de sortie écran :

 ----------------------------------
 A :
 +1.00 +2.00i  +3.00 +4.00i  +5.00 +3.00i 
 +5.00 +4.00i  +1.00 +3.00i  +9.00 +1.00i 
 +7.00 +2.00i  +5.00 +1.00i  +8.00 +3.00i 

 U :
  +0.3772 +0.1725i   -0.0706 +0.3672i   -0.4502 -0.6968i 
  +0.6136 +0.0689i   -0.6524 -0.3188i   -0.0717 +0.2937i 
  +0.6683 +0.0000i   +0.5770 +0.0000i   +0.4695 +0.0000i 

 V :
  +0.5169 -0.1394i   -0.0987 +0.0009i   -0.8017 +0.2468i 
  +0.3600 -0.1324i   -0.7923 +0.3282i   +0.3050 -0.1562i 
  +0.7525 +0.0000i   +0.5047 +0.0000i   +0.4230 -0.0000i 

 S = U_T * A * V :
 +17.7296 +3.0133i   +0.0000 +0.0000i   -0.0000 -0.0000i 
  +0.0000 -0.0000i   -1.6373 +3.7646i   +0.0000 +0.0000i 
  -0.0000 +0.0000i   +0.0000 -0.0000i   -2.2158 +1.9545i 

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