Numerical method II-II IOE Note

 Numerical method II-II IOE Note by IOE ALL Subject Notes

Write a pseudo-code to find a real root of non-linear equation using fixed point iteration method?

1. Start

2. Define function as f(x)

3. Define convergent form g(x) 

4. Input:

a. Initial guess x0 

b. Tolerable Error e

c. Maximum Iteration N

5. Initialize iteration counter: step = 1

6. Do 

Xi+1 = g(Xi)

step = step + 1

If step > N

Print "Not Convergent"

Stop

End If

x0 = x1

   While abs f(x1) > e 

7. Print root as x1

8. Stop

Note: g(x) is obtained by rewriting f(x) in the form of x = g(x)