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Math Help - numerical analisys question..

  1. #1
    MHF Contributor
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    numerical analisys question..

    http://i48.tinypic.com/2yzd213.jpg

    how they got g1 g2 g3
    ?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by transgalactic View Post
    http://i48.tinypic.com/2yzd213.jpg

    how they got g1 g2 g3
    ?
    They are just different rearrangemants of x^3-x-5=0 into the form x=g(x), presumably to show that formula iteration converges for some but not others.

    g_1(x) comes from the rearrangement x=x^3-5

    g_2(x) comes from the rearrangement x^3=x-5, so x= \sqrt[3]{x-5}

    g_3(x) comes from the rearrangement x(x^2-1)-5=0 so x=\frac{5}{x^2-1}

    CB
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  3. #3
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    ok i solved a similar equation:
    x^3+2x^2+4-x=0
    g1=x^3+2x^2+4

    why for g1 L=0.5
    how to find L for other g
    what is the meaning of L?
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