# numerical analysis question

• Apr 6th 2010, 03:21 AM
transgalactic
numerical analysis question
how to know the rate of convergence here
http://i43.tinypic.com/34e2e6b.jpg
i know the formula
$\displaystyle \lim_{n->\infty}|\frac{e_{n+1}}{e_n^m}|=c$
where m is the convergence rate
but it doesnt help me here at all
• Apr 6th 2010, 04:12 AM
Anonymous1
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.

(Happy)
• Apr 6th 2010, 04:31 AM
transgalactic
i need to know the rate of the convergence
not the solution
in the solution the get some number
• Apr 6th 2010, 04:34 AM
Anonymous1
Quote:

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.
• Apr 6th 2010, 04:37 AM
transgalactic
i dont need the number of iterations
i need the order of convergence for this method
• Apr 6th 2010, 04:50 AM
transgalactic
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?