## Monday, April 12, 2021

### 89. Program for Newton Raphson General.

89. Program for Newton Raphson General.

#include<stdio.h>
#include<math.h>

int user_power, i = 0, cnt = 0, flag = 0;
int coef[10] = {0};
float x1 = 0, x2 = 0, t = 0;
float fx1 = 0, fdx1 = 0;

int main()
{
printf("PROGRAM FOR NEWTON RAPHSON GENERAL");

printf("\nEnter the total no. of power : ");
scanf("%d", &user_power);

for (i = 0; i <= user_power; i++)
{
printf("\nx^%d : ", i);
scanf("%d", &coef[i]);
}

printf("\n");

printf("\n\nThe Polynomial is ");

//printing coeff.
for (i = user_power; i >= 0; i--)
{
printf("%dx^%d", coef[i], i);
}

printf("\n\nIntial x1 -> ");
scanf("%f", &x1);

printf("Iteration\tX1\tFX1\tF'X1");

do
{
cnt++;
fx1 = fdx1 = 0;
for (i = user_power; i >= 1; i--)
{
fx1 += coef[i] * (pow(x1, i));
}

fx1 += coef[0];

for (i = user_power; i >= 0; i--)
{
fdx1 += coef[i] * (i * pow(x1, (i - 1)));
}

t = x2;
x2 = (x1 - (fx1 / fdx1));
x1 = x2;

printf("\n\t%d\t%.3f\t%.3f\t%.3f ", cnt, x2, fx1, fdx1);

}
while ((fabs(t - x1)) >= 0.0001);

printf("\n\nThe root of equation is %f", x2);

return 0;
}