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JACOBIAN METHOD

Posted By: Adalard Fischer     Category: C Programming     Views: 6903

Write a program of JACOBIAN METHOD.

Code for JACOBIAN METHOD in C Programming

#include<stdio.h>
#include<conio.h>
#include<math.h>
#define ESP 0.0001
#define X1(x2,x3) ((17 - 20*(x2) + 2*(x3))/20)
#define X2(x1,x3) ((-18 - 3*(x1) + (x3))/20)
#define X3(x1,x2) ((25 - 2*(x1) + 3*(x2))/20)


void main()
{
  double x1=0,x2=0,x3=0,y1,y2,y3;
  int i=0;
  clrscr();
  printf("\n__________________________________________\n");
  printf("\n   x1\t\t   x2\t\t   x3\n");
  printf("\n__________________________________________\n");
  printf("\n%f\t%f\t%f",x1,x2,x3);
  do
  {
   y1=X1(x2,x3);
   y2=X2(x1,x3);
   y3=X3(x1,x2);
   if(fabs(y1-x1)<ESP && fabs(y2-x2)<ESP && fabs(y3-x3)<ESP )
   {
     printf("\n__________________________________________\n");
     printf("\n\nx1 = %.3lf",y1);
     printf("\n\nx2 = %.3lf",y2);
     printf("\n\nx3 = %.3lf",y3);
     i = 1;
   }
   else
   {
     x1 = y1;
     x2 = y2;
     x3 = y3;
     printf("\n%f\t%f\t%f",x1,x2,x3);
   }
  }while(i != 1);
getch();
}

/*

OUT PUT
___________


__________________________________________

x1 x2 x3

__________________________________________

0.000000 0.000000 0.000000
0.850000 -0.900000 1.250000
1.875000 -0.965000 1.030000
1.918000 -1.129750 0.917750
2.071525 -1.141812 0.888737
2.080686 -1.166292 0.871576
2.103449 -1.168524 0.866988
2.105223 -1.172168 0.864376
2.108606 -1.172565 0.863653
2.108930 -1.173108 0.863255
2.109434 -1.173177 0.863141
__________________________________________


x1 = 2.109

x2 = -1.173

x3 = 0.863

*/
  
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Adalard Fischer
Adalard Fischer author of JACOBIAN METHOD is from Frankfurt, Germany.
 
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