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

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- Apr 6th 2010, 03:21 AMtransgalacticnumerical 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 AMAnonymous1
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 AMtransgalactic
i need to know the rate of the convergence

not the solution

in the solution the get some number - Apr 6th 2010, 04:34 AMAnonymous1
- Apr 6th 2010, 04:37 AMtransgalactic
i dont need the number of iterations

i need the order of convergence for this method - Apr 6th 2010, 04:50 AMtransgalactic
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?