Find the root of the equation using Newton reperson method by MistarAV

 #include<stdio.h>

#include<conio.h>

#include<math.h>

#include<stdlib.h>

/* Defining equation to be solved.

Change this equation to solve another problem. */

#define f(x) 3*x - cos(x) -1

/* Defining derivative of g(x).

As you change f(x), change this function also. */

#define g(x) 3 + sin(x)

void main()

{

clrscr ();

float x0, x1, f0, f1, g0, e;

int step = 1, N;

/* Inputs */

printf("\nEnter initial guess:\n");

scanf("%f", &x0);

printf("Enter tolerable error:\n");

scanf("%f", &e);

printf("Enter maximum iteration:\n");

scanf("%d", &N);

/* Implementing Newton Raphson Method */

printf("\nStep\t\tx0\t\tf(x0)\t\tx1\t\tf(x1)\n");

do

{

g0 = g(x0);

f0 = f(x0);

if(g0 == 0.0)

{

printf("Mathematical Error.");

exit(0);

}

x1 = x0 - f0/g0;

printf("%d\t\t%f\t%f\t%f\t%f\n",step,x0,f0,x1,f1);

x0 = x1;

step = step+1;

if(step > N)

{

printf("Not Convergent.");

exit(0);

}

f1 = f(x1);

}while(fabs(f1)>e);

printf("\nRoot is: %f", x1);

getch();

}




Output


Enter initial guess:

1

Enter tolerable error:

0.00001

Enter maximum iteration:

10

Step x0 f(x0) x1 f(x1)


1 1.000000 1.459698 0.620016 0.000000


2 0.620016 0.046179 0.607121 0.046179


3 0.607121 0.000068 0.607102 0.000068


Root is: 0.607102


3

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