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Topic: An optimization problem
Replies: 19   Last Post: Sep 14, 2013 9:44 AM

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William Elliot

Posts: 1,608
Registered: 1/8/12
Re: An optimization problem
Posted: Sep 7, 2013 9:39 PM
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On Sat, 7 Sep 2013, analyst41@hotmail.com wrote:

> consider f(x1,x2,...xn) = {1 + sum(xi)^2)} / {1 +sum{x(i)}
> 0 <=xi <=1 for all i.
>
> The maximum function value of 1 occurs at either all x's = 0 or all x's = 1.
> Can an explicit formula be given for the minimum?


Let g(x) = (1 + x^2)/(1 + x) and look for extreme values of g.



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