Optimizing math functions
Esmail
ebonak at hotmail.com
Sat May 23 15:22:59 CEST 2009
Hello all,
I would like to maximize or minimize a given math function over a
specific set of values, in Python preferably.
I was checking out Wolfram Alpha (http://www70.wolframalpha.com/)
and it can do simple optimization problems in math, such as
maximize 15*x - x**2 over 0 to 15
(http://www70.wolframalpha.com/input/?i=maximize+15*x+-+x**2+over+0+to+15)
which finds the maximum value and input for x in the range 0 to 15.
Very cool. (This is of course a very simple example).
What it apparently can't do is for maximize (or minimize) functions
that contain two variables, x and y, or more. So for example a simple
example would be
maximize x**2 + y**2 over x:0 to 15, y:0-12 -- this does not work
-- though I'm unclear about
-- the correct syntax too.
Is there some sort of simple Python module that would allow me to
evaluate this type of function?
In this particular instance I am interested in the minimum of
x * sin(4*x) + 1.1 * sin(2*y), where x,y in range 0-10
though in other problems the range may not be identical for x and y.
Thanks,
Esmail
ps: Does anyone know if Octave or some other free Linux (or Windows)
program might also do this in a simple way? My preference would
still be a Python solution that would be simple to use, ie plug in
the function, the ranges and have it pop out the solution :-)
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