PROGRAM (TO FIND APPROXIMATE ROOT OF THE LINEAR EQUATION BY NEWTON-RAPHSON METHOD)

PROGRAM

FINDING APPROXIMATE ROOT OF A LINEAR EQUATION BY NEWTON-RAPHSON METHOD

#include<stdio.h>

#include<math.h>

#include<conio.h>

float f(float x)

{

 return (x*x)-2*x;

}

float df(float y)

{

 return(2*y)-2;

}

int main()

{

 float x0,x1,h;

 int n;

 clrscr();

 printf("\nenter the max no. of iterations");

 scanf("%d",&n);

 printf("\nenter the initial approximate value for the function (x*x)-(2*x)");

 scanf("%f",&x0);

 for(int i=0;i<n;i++)

 {

  h=f(x0)/df(x0);

  x1=x0-h;

  printf("\n at the iteration %d, root is %f\n",(i+1),x1);

  if(fabs(h)<0.001)

  {

   printf("\nafter %d iteration final root is %f",(i+1),x1);

  }

  x0=x1;

 }

 getch();

 return 0;

}

OUTPUT:-

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