Re: Global max for a nonlinear function

• To: mathgroup at smc.vnet.net
• Subject: [mg15125] Re: Global max for a nonlinear function
• From: "Nicolas B.E. Sawyer" <nbes at eee.nott.ac.uk>
• Date: Wed, 16 Dec 1998 03:11:06 -0500
• Organization: University of Nottingham
• References: <74o11e\$49e@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```mukul chawla wrote:
>
> I am trying to compute the global maxima for a nonlinear function
> subject to a set of constraints, is there a way to do that using
> mathematica ?? If so, how ??
>
> Thanks,
> Mukul

I've written some code for finding the maxima and minima of a function
by looking for zeros in the first differential. It extracts candidate
points (using FullGraphics[]) from the data generated by Plot[] and
returns a list of the maxima or minima found within a plotted range

e.g.

findMaxima[Sin[x], {x, 0, 4 Pi}]

gives

Out[1]=
{{1.5708, 1.}, {7.85398, 1.}}

I'd like to submit the code to MathSource but think it needs testing and
possibly tidying up first. I don't consider myself to be an expert in
Mathematica programming, so would like a hand with this. If you would
like to help, please get in touch.

--
Nicolas B.E. Sawyer

Department of Electrical and Electronic Engineering, University of
Nottingham,
University Park,
Nottingham,
NG7 2RD.

Tel: +44 115 9515151 ext 12028
Fax: +44 115 9515616

E-mail: nbes at eee.nottingham.ac.uk

```

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