Re: Minimization point

From: William Elliot <marsh@xxxxxxxxxxxxxxxxxx>
Date: Fri, 26 Oct 2007 01:43:26 -0700

On Fri, 26 Oct 2007, Toussis Manolis wrote:

Suppose we have a function G(x) = a1 f1(x) + a2 f2(x) + ...
a1,a2 reals

Not all functions on [1,n] have minimum points.

if f1p1,f1p2,... the minimum points of f1 in [l,u]
f2p1,f2p2... .... ... of f2 in [l,u]

Can we say that the minimum point of G in [l,u] is in the set

Typo: ... minimum points of ...

{f1p1,f1p2,... f2p1,f2p2.... fnp1,fnp2...}
?

No. For example
f(x) = x, a1 = -1, G(x) = a1 f(x)

----
.

References:
- Minimization point
  - From: Toussis Manolis

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