Newton Raphson Method

Submitted by Karthikeyan on Tue, 08/09/2009 - 17:35

Sample C program that uses Newton Raphson Method in mathematics


/*Newton Raphson Method*/
#include
#include 
float f1(x)
float x;
{
	return(x*x*x-6*x+4);
}
float f2(x)
float x;
{
	return(3*x*x-6);
}
main()
{
    int i;
	float v1, v2, x0, x1, w, z, e, k;
	clrscr();
    printf("\n\t Newton - Raphson Method");
    printf("\n\t************************");
	v1 =0.0; v2 =1.0;
    do
    {
		w  = f1(v1);
		z  = f1(v2);
		v2 = v2+1.0;
    }
    while(((w>0.0) && (z<0.0)) || ((w<0.0) && (z==0.0)));
	x0 = v1;
	printf("\n\n\t The given function is: x^3 - 6x +4");
	printf("\n\n\t The differential function: 3x^2 - 6");
	printf("\n\n\t x0 value \t\t x1 value ");
	do
    {
		x1= x0 - (f1(x0)/f2(x0));
		printf("\n\n\t %f \t\t %f",x0,x1);
		k = x0;
		x0 = x1;

	}
		while(k != x0);
	printf("\n\n\t\t root = %f\n", x1);
getch ();
}