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Topic: lower-bound quadratic on two other quadratics
Replies: 3   Last Post: Jul 13, 2012 2:27 AM

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Posts: 35
Registered: 8/22/09
Re: lower-bound quadratic on two other quadratics
Posted: Jul 12, 2012 8:44 AM
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On Mon, 9 Jul 2012 15:12:44 -0700 (PDT), Armand
<> wrote:

> Given two positive quadratic functions a1x^2 + b1x + c1 and
> a2x^2 + b2x + c2, find a third quadratic function which is a
> "greatest" lower-bound on both these two functions.


1. Order your functions that a1>=a2
2. compute t=(b2-b1)^2/(4*(a2-a1))-c1
3. sought y=ax^2+bx+c is such that a=a1, b=b1, c=min(c1,t)


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