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Re: no message from Minimize[] on a weird function(x^x) !?!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96742] Re: no message from Minimize[] on a weird function(x^x) !?!
  • From: Simon <simonjtyler at gmail.com>
  • Date: Mon, 23 Feb 2009 05:03:40 -0500 (EST)
  • References: <gnr1d2$ep0$1@smc.vnet.net>

Hi Roger

If you tell Mathematica that x needs to be positive, all is well.

In[1]:= Minimize[x^x, x]
Out[1]= Minimize[x^x, x]

In[2]:= Minimize[{x^x, x > 0}, x]
Out[2]= {E^(-1/E), {x -> 1/E}}

In[3]:= FindMinimum[x^x, x]
Out[3]= {0.692201, {x -> 0.367879}}

In[4]:= N[%2]
Out[4]= {0.692201, {x -> 0.367879}}

In the help ref/Minimize it says
"Possible Issues:  Minimize requires that all functions present in the
input be real-valued:"

Simon


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