Mathc complexes/c092b

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **A   =       i_mZ(r,r);
double **Inv =       i_mZ(r,r);
double **B   = r_mZ( i_mZ(r,C3),9999.);
double **X   =       i_mZ(r,C3);

 do
  {
   r_mZ(A,9999.);
   printf(".");
  }while(!det_Z(A).r);

  clrscrn();
  printf("                                                 \n");
  printf(" Linear systems with common coefficient matrix.\n\n");
  printf("                Ax1=b1                           \n");
  printf("                Ax2=b2                           \n");
  printf("                ...                              \n");
  printf("                Axn=bn                         \n\n");
  printf(" We can write these equalities in this maner.  \n\n");
  printf("    A|x1|x2|...|xn| = b1|b2|...|bn|            \n\n");
  printf("  or simply :                                  \n\n");
  printf("              AX = B                           \n\n");
  printf("  where B = b1|b2|...|bn                       \n\n");
  printf("  and   X = x1|x2|...|xn                       \n\n");
  stop();

  clrscrn();
  printf(" We want to find X such as,   \n\n");
  printf("         AX = B               \n\n");
  printf(" If A is a square matrix and, \n\n");
  printf(" If A has an inverse matrix,  \n\n");
  printf(" you can find X by this method\n\n");
  printf("         X = inv(A) B       \n\n\n");
  printf(" To verify the result you can \n\n");
  printf(" multiply the matrix A by X.  \n\n");
  printf(" You must refind B.  \n\n");
  stop();

  clrscrn();
  printf(" A :");
  p_mZ(A, S6,P0, S6,P0, C6);
  printf(" b1      b2      ...      bn :");
  p_mZ(B, S6,P0, S6,P0, C6);
  stop();

  clrscrn();
  printf(" invgj_mZ(A,Inv) :");
  pE_mZ(invgj_mZ(A,Inv), S6,P4, S6,P4, C3);
  stop();

  clrscrn();
  printf(" X = invgj_mZ(A,Inv) * B :\n");
  printf(" x1             x2           ...           xn :");
  p_mZ(mul_mZ(Inv,B,X), S6,P4, S6,P4, C6);
  stop();

  clrscrn();
  printf(" b1      b2      ...      bn :");
  p_mZ(B, S6,P0, S6,P0, C6);
  printf(" Ax1     Ax2     ...      Axn :");
  p_mZ(mul_mZ(A,X,B), S6,P0, S6,P0, C6);

  f_mZ(X);
  f_mZ(B);
  f_mZ(Inv);
  f_mZ(A);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));
do
{
  fun(rp_I(R4)+R1);

} while(stop_w());

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

Exemple de sortie écran :

 ------------------------------------                                                  
 Linear systems with common coefficient matrix.

                Ax1=b1                           
                Ax2=b2                           
                ...                              
                Axn=bn                         

 We can write these equalities in this maner.  

    A|x1|x2|...|xn| = b1|b2|...|bn|            

  or simply :                                  

              AX = B                           

  where B = b1|b2|...|bn                       

  and   X = x1|x2|...|xn                       

 Press return to continue. 


 ------------------------------------ 
 We want to find X such as,   

         AX = B               

 If A is a square matrix and, 

 If A has an inverse matrix,  

 you can find X by this method

         X = inv(A) B       


 To verify the result you can 

 multiply the matrix A by X.  

 You must refind B.  

 Press return to continue. 


 ------------------------------------ 
 A :
+7062 -457i  +404 +452i  +166+5366i 
-9677-9655i +2816-9683i -2553-2409i 
 +272+3942i +2796+4868i +3814-5081i 

 b1      b2      ...      bn :
-1389+8804i -4597+8290i +2286-8829i 
+8046+2278i -3747+1106i -6083-3275i 
 +850-6925i -4611-4871i -4477 +112i 

 Press return to continue. 


 ------------------------------------ 
 invgj_mZ(A,Inv) :
+1.737e-05-1.592e-04i -8.611e-05-5.143e-05i -3.902e-05-1.583e-04i 
+2.026e-04+2.088e-04i +1.713e-04+5.745e-05i +2.018e-04+1.213e-04i 
+1.836e-04-1.737e-04i +4.494e-05-1.083e-04i +1.806e-04-5.427e-05i 

 Press return to continue. 


 ------------------------------------ 
 X = invgj_mZ(A,Inv) * B :
 x1             x2           ...           xn :
-0.328-0.100i +1.028+1.893i -0.818+0.782i 
+0.139+1.052i -3.707-0.848i +0.536-2.743i 
+1.660-0.208i -0.549+2.147i -2.544-1.243i 

 Press return to continue. 


 ------------------------------------ 
 b1      b2      ...      bn :
-1389+8804i -4597+8290i +2286-8829i 
+8046+2278i -3747+1106i -6083-3275i 
 +850-6925i -4611-4871i -4477 +112i 

 Ax1     Ax2     ...      Axn :
-1389+8804i -4597+8290i +2286-8829i 
+8046+2278i -3747+1106i -6083-3275i 
 +850-6925i -4611-4871i -4477 +112i 


 Press return to continue
 Press X      to stop