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Math Help - Question regarding simple point iteration..

  1. #1
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    Question regarding simple point iteration..

    Hi guys, suppose I have the function:

    3hA(T) + hB(T) = 6108.888

    (where hA(T) = [Integral(0 -> T):C*dT] and C = a + b*T + c*T^2 +d*T^3

    => f(T) = 3hA(T) + hB(T) - 6108.888

    In order to use the single-point iteration method, I set f(T) = 0 and added T to both sides:

    Ti+1 = 3hA(Ti) + hB(Ti) - 6108.888 + Ti

    I've set as a starting value of the iteration T0 = 500

    The problem is, I can't get the function to converge.

    The Newton-Raphson method(using T=500 as well) as well as the bisection method (with values 500,1100) converge and give me a root estimation of ~679.

    I tried using (Ti+1)^2 = (3hA(Ti) + hB(Ti) - 6108.888 + Ti)^2 but still nothing.

    Is there a way to make it converge ?

    Regards
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  2. #2
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    Noone? :\
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