Program for Newton Raphson General.

 Program for Newton Raphson General.

CODE

👇

1. #include<stdio.h>
2. #include<math.h>
3. 
   
4. int user_power, i = 0, cnt = 0, flag = 0;
5. int coef[10] = {0};
6. float x1 = 0, x2 = 0, t = 0;
7. float fx1 = 0, fdx1 = 0;
8. 
   
9. int main()
10. {
11.     printf("PROGRAM FOR NEWTON RAPHSON GENERAL");
12. 
    
13.     printf("\nEnter the total no. of power : ");
14.     scanf("%d", &user_power);
15. 
    
16.     for (i = 0; i <= user_power; i++)
17.     {
18.         printf("\nx^%d : ", i);
19.         scanf("%d", &coef[i]);
20.     }
21. 
    
22.     printf("\n");
23. 
    
24.     printf("\n\nThe Polynomial is ");
25. 
    
26.     //printing coeff.
27.     for (i = user_power; i >= 0; i--)
28.     {
29.         printf("%dx^%d", coef[i], i);
30.     }
31. 
    
32.     printf("\n\nIntial x1 -> ");
33.     scanf("%f", &x1);
34. 
    
35.     printf("Iteration\tX1\tFX1\tF'X1");
36. 
    
37.     do
38.     {
39.         cnt++;
40.         fx1 = fdx1 = 0;
41.         for (i = user_power; i >= 1; i--)
42.         {
43.             fx1 += coef[i] * (pow(x1, i));
44.         }
45. 
    
46.         fx1 += coef[0];
47. 
    
48.         for (i = user_power; i >= 0; i--)
49.         {
50.             fdx1 += coef[i] * (i * pow(x1, (i - 1)));
51.         }
52. 
    
53.         t = x2;
54.         x2 = (x1 - (fx1 / fdx1));
55.         x1 = x2;
56. 
    
57.         printf("\n\t%d\t%.3f\t%.3f\t%.3f ", cnt, x2, fx1, fdx1);
58. 
    
59.     }
60.     while ((fabs(t - x1)) >= 0.0001);
61. 
    
62.     printf("\n\nThe root of equation is %f", x2);
63. 
    
64.     return 0;
65. }

👉Excute👈

//OUTPUT

/*

*/