Mathc matrices/a79

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :   c00c.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RCA        RC4
/* ------------------------------------ */
double **Exp_mR(
double **A,
double **ExpA
)
{	
double **A_n     = i_mR(RCA,RCA);
double **sA      = i_mR(RCA,RCA);
double **NewExpA = i_mR(RCA,RCA);

int n = 10; 
int i =  0; 
	
  for(i = 0; i <= n; i++)
   {
     pow_mR(i, A, A_n);    
    smul_mR(1./factorial(i), A_n, sA);    
     add_mR(ExpA,sA,NewExpA);        
       c_mR(NewExpA,ExpA);
   }
   
  f_mR(A_n);
  f_mR(sA);
  f_mR(NewExpA);
   
  return (ExpA);	
}
/* ------------------------------------ */
void fun(void)
{
double **A    = rE_mR(i_mR(RCA,RCA),999,+1.E-3); 
double **ExpA =       i_mR(RCA,RCA);   
      
   clrscrn();   
   printf(" Copy/Past into the octave window.       \n");
   p_Octave_mR(A, "A", P4);
   printf(" expm (A)\n\n");
   
   Exp_mR(A, ExpA);
     
   printf(" ExpA :");
   p_mR(ExpA,S8,P6,C6);

   f_mR(A);
   f_mR(ExpA);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

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

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

   ExpA = Ide + A + (1/2) A**2 + (1/6) A**3 + ... + 1/(n-1)! A**(n-1)

Exemple de sortie écran :

/* ------------------------------------ */
 Copy/Past into the octave window.       
 A=[
+0.3230,+0.4220,+0.4330,+0.4660;
+0.4080,+0.9810,-0.8480,+0.7700;
+0.9930,+0.1970,-0.7240,-0.4430;
-0.2110,-0.7220,-0.8730,-0.7070]

 expm (A)

 ExpA :
+1.534408 +0.620268 +0.022490 +0.571371 
-0.019000 +2.058830 -1.292284 +1.109739 
+0.997799 +0.608442 +0.508767 +0.105784 
-0.577654 -1.040181 -0.126381 +0.171784 


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