Untitled

Fixed Point iteration

#include <stdio.h>

#include <math.h>

float g(float x) {

    return pow(x + 1, 1.0/3.0);

}

int main() {

    float x0, x1, error;

    int i = 1;

    printf("Enter initial guess: ");

    scanf("%f", &x0);

    printf("Enter tolerable error: ");

    scanf("%f", &error);
}
do {

    x1 = g(x0);

    printf("Iteration %d: x = %f\n", i, x1);

    if (fabs(x1 - x0) < error)

    break;

    x0 = x1;

    i++;

} while (1);

printf("\nApproximate root = %f\n", x1);

return 0;

}
}
}