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Find minimum value of polynomial

asked 2013-07-29 14:20:42 +0100

ji-o gravatar image

updated 2013-07-29 15:53:16 +0100

I have a univariate polynomial with integer coefficients over [0,1] and I would like to find a minimum value. Is there an easy way to do that in sage?

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answered 2013-07-29 16:08:12 +0100

calc314 gravatar image

Try the following:

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You have to remember that: f.find_minimum_on_interval(0,1) does NOT include the end points. This call on f(x) = (x-3)*(x+2)^2 will produce these results: (-17.99999991390072, 0.99999997130024143) While over the interval [0,1] the minimum is located at x=1 If you want to include the endpoints you would need to write something like this: min(f(0), f.find_minimum_on_interval(0,1)[0], f(1))

Pavel Yartsev gravatar imagePavel Yartsev ( 2013-07-31 14:05:13 +0100 )edit

I found this answer before finding

The answer given at this link notes the updated method name "find_local_minimum/maximum"

See also: Sage Reference Manual on numerical optimization.

I also discovered this name change after following examples in Craig Finch's "Sage Beginner's Guide"

dyne2meter gravatar imagedyne2meter ( 2020-09-25 07:16:55 +0100 )edit

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Asked: 2013-07-29 14:20:42 +0100

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Last updated: Jul 29 '13