Re: Maximize returning approximate values
- To: mathgroup at smc.vnet.net
- Subject: [mg101333] Re: Maximize returning approximate values
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Wed, 1 Jul 2009 06:36:54 -0400 (EDT)
- Organization: Uni Leipzig
- References: <h2cps7$ah5$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
Hi,
NMaximize[n/n!, n]
gives
{1.12917, {n -> 1.46163}}
and
FindMaximum[n/n!, n]
gives
{1.12917, {n -> 1.46163}}
Regards
Jens
Nacho wrote:
> Hello.
>
>>From Maximize documentation in V7.0.3:
>
> * Maximize will return exact results if given exact input.
>
> I've tried to maximize n/n! without success:
>
> In[8]:= Maximize[n/n!, n]
> Out[8]= Maximize[n/n!, n]
>
> But a Plot shows that the maximum is around 1.5, so I tried:
>
> In[9]:= Maximize[{n/n!, 0 <= n <= 3}, n]
> During evaluation of In[9]:= Maximize::nint: Warning: Maximize used
> numeric integration to show that the result is a global maximum. >>
> Out[9]= {Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
> 1.46163214496836234126265954233}]/
> Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
> 1.46163214496836234126265954233}]!, {n ->
> Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
> 1.46163214496836234126265954233}]}}
>
>
> It is partially symbolic, partially numeric.
> Is it a bug?
>
> Regards.
>