Minimize
Usage
• Minimize[f, {x, y, ... }] minimizes f with respect to x, y, ... . • Minimize[{f, cons}, {x, y, ... }] minimizes f subject to the constraints cons.
Notes
• Minimize returns a list of the form { , {x -> , y -> , ... }}. • cons can contain equations, inequalities or logical combinations of these. • If f and cons are linear or polynomial, Minimize will always find a global minimum. • Minimize will return exact results if given exact input. • If the minimum is achieved only infinitesimally outside the region defined by the constraints, or only asymptotically, Minimize will return the infimum and the closest specifiable point. • By default, all variables are assumed to be real. • x Integers can be used to specify that a variable can take on only integer values. • If the constraints cannot be satisfied, Minimize returns {+Infinity, {x -> Indeterminate, ... }}. • Even if the same minimum is achieved at several points, only one is returned. • New in Version 5.
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