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January 26th, 2013, 10:12 PM   #1
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minimum of a function

Hello from Greece.

Is there anybody out there who can help on this topic

" determine the minimum of the function f(z) defined where
with z a complex number such us "

Thanks in advance!
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January 27th, 2013, 10:53 PM   #2
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Re: minimum of a function

Have you considered treating this as a constrained minimisation problem in two variables?

CB
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January 27th, 2013, 11:15 PM   #3
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Re: minimum of a function

You have to be carefull how you define the function when since is undefined there, but behaves like .

Also just plotting this over the constrained region shows that the minimum occurs when , and is zero (at least withthe removable singularity at z=0 removed!).

CB
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January 28th, 2013, 02:33 AM   #4
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Re: minimum of a function

find the value of z for
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