# Math Help - numerical analysis question

1. ## numerical analysis question

how to know the rate of convergence here

i know the formula
$\lim_{n->\infty}|\frac{e_{n+1}}{e_n^m}|=c$
where m is the convergence rate
but it doesnt help me here at all

2. http://www.mathhelpforum.com/math-he...-question.html

See here for Newton's method. You can simply insert a counter in your for loop like:

i=0

(in for)
i = i+1;
end

You'll find it converges very fast.

3. i need to know the rate of the convergence
not the solution
in the solution the get some number

4. Originally Posted by transgalactic
i need to know the rate of the convergence
not the solution
in the solution the get some number
Huh???? I'm not sure what you mean.

If you insert a counter, it will show you how how many iterations were necessary to find your root. i.e., the rate at which it converges.

5. i dont need the number of iterations
i need the order of convergence for this method

6. i got this table in the end which states
newton referson method order of convergence is 2

secant method order of convergence is [1+sqrt(5)]/2

secant method order of convergence is 1

how they gor those numbers?