Mathc complexes/a156

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :  c00a.c                   */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define   RCA        RC3
#define FACTOR_E    +1.E-0
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
double **A             = rEcsymmetric_mZ(i_mZ(RCA,RCA),455.,1E-3);
double **sinh_A        =               i_mZ(RCA,RCA);

double **EigsVector    =               i_mZ(RCA,RCA);
double **T_EigsVector  =               i_mZ(RCA,RCA);

double **EigsValue     =               i_mZ(RCA,RCA);
double **sinh_EigsValue =              i_mZ(RCA,RCA);

double **T1            =               i_mZ(RCA,RCA);
  
  clrscrn();
  printf(" A :");
  p_mZ(A,S10,P4,S10,P4,C6); 

  eigs_V_mZ(A,EigsVector,FACTOR_E);
  ctranspose_mZ(EigsVector,T_EigsVector);
      
/* EigsValue : T_EigsVector * A * EigsVector */
  mul_mZ(T_EigsVector,A,T1);
  mul_mZ(T1,EigsVector,EigsValue);     
  
  f_eigs_mZ(sinh,EigsValue,sinh_EigsValue);

//A == EigsVector * EigsValue * T_EigsVector  
  mul_mZ(EigsVector,sinh_EigsValue,T1);
  mul_mZ(T1,T_EigsVector,sinh_A); 

  printf(" sinh(A) :");
  p_mZ(sinh_A,S10,P4,S10,P4,C6); 

/* ================================================================== */ 

  eigs_V_mZ(sinh_A,EigsVector,FACTOR_E); 
  ctranspose_mZ(EigsVector,T_EigsVector);  
  
/* EigsValue : T_EigsVector * A * EigsVector */
  mul_mZ(T_EigsVector,sinh_A,T1);
  mul_mZ(T1,EigsVector,EigsValue);     
  
  f_eigs_mZ(asinh,EigsValue,sinh_EigsValue);

//A == EigsVector * EigsValue * T_EigsVector  
  mul_mZ(EigsVector,sinh_EigsValue,T1);
  mul_mZ(T1,T_EigsVector,A); 

  printf(" asinh(sinh(A)) = A :");
  p_mZ(A,S10,P4,S10,P4,C6);

  f_mZ(A);
  f_mZ(sinh_A);

  f_mZ(EigsVector);
  f_mZ(T_EigsVector);
  
  f_mZ(EigsValue);  
  f_mZ(sinh_EigsValue);    
      
  f_mZ(T1);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun();

} while(stop_w());

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

               asinh(sinh(A)) = A

Exemple de sortie écran :

 ------------------------------------
 A :
   +0.2480   +0.0000i    -0.0292   -0.2345i    +0.1522   +0.2135i 
   -0.0292   +0.2345i    +0.4330   +0.0000i    +0.0456   +0.0392i 
   +0.1522   -0.2135i    +0.0456   -0.0392i    +0.6489   +0.0000i 

 sinh(A) :
   +0.2727   +0.0000i    -0.0281   -0.2531i    +0.1743   +0.2392i 
   -0.0281   +0.2531i    +0.4579   +0.0000i    +0.0410   +0.0529i 
   +0.1743   -0.2392i    +0.0410   -0.0529i    +0.7147   +0.0000i 

 asinh(sinh(A)) = A :
   +0.2480   -0.0000i    -0.0292   -0.2345i    +0.1522   +0.2135i 
   -0.0292   +0.2345i    +0.4330   +0.0000i    +0.0456   +0.0392i 
   +0.1522   -0.2135i    +0.0456   -0.0392i    +0.6489   +0.0000i 


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