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Math Help - numerical analysis question

  1. #1
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    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
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  2. #2
    Super Member Anonymous1's Avatar
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    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.

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  3. #3
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    i need to know the rate of the convergence
    not the solution
    in the solution the get some number
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  4. #4
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by transgalactic View Post
    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.
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  5. #5
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    i dont need the number of iterations
    i need the order of convergence for this method
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  6. #6
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    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?
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