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Mathematica® Teacher's Edition (2002)

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FindMinimum

FilledSmallSquare FindMinimum[f, x, ] searches for a local minimum in f, starting from the point x=.

FilledSmallSquare FindMinimum returns a list of the form , x->, where is the minimum value of f found, and is the value of x for which it is found.
FilledSmallSquare FindMinimum[f, x, , ] searches for a local minimum in f using and as the first two values of x. This form must be used if symbolic derivatives of f cannot be found.
FilledSmallSquare FindMinimum[f, x, xstart, xmin, xmax] searches for a local minimum, stopping the search if x ever gets outside the range xmin to xmax.
FilledSmallSquare FindMinimum[f, x, , y, , ... ] searches for a local minimum in a function of several variables.
FilledSmallSquare FindMinimum works by following the path of steepest descent from each point that it reaches. The minimum it finds is a local, but not necessarily a global, one.
FilledSmallSquare The following options can be given:

FilledSmallSquare The default settings for AccuracyGoal and PrecisionGoal are ten digits less than WorkingPrecision.
FilledSmallSquare FindMinimum continues until either of the goals specified by AccuracyGoal or PrecisionGoal is achieved.
FilledSmallSquare See The Mathematica Book on the web: Section 1.6.5 and Section 3.9.8.
FilledSmallSquare Implementation Notes: see Section A.9.4.
FilledSmallSquare See also: ConstrainedMin, LinearProgramming, D, Fit.