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FindMinimum

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

FilledSmallSquare FindMinimum[f, x, , y, , ... ] searches for a local minimum in a function of several variables.

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 If the starting point for a variable is given as a list, the values of the variable are taken to be lists with the same dimensions.

FilledSmallSquare FindMinimum has attribute HoldAll.

FilledSmallSquare FindMinimum[f, x, , ] searches for a local minimum in f using and as the first two values of x, avoiding the use of derivatives.

FilledSmallSquare FindMinimum[f, x, , , ] searches for a local minimum, stopping the search if x ever gets outside the range to .

FilledSmallSquare The results found by FindMinimum may correspond only to local, but not global, minima.

FilledSmallSquare The following options can be given:

FilledSmallSquare The default settings for AccuracyGoal and PrecisionGoal are WorkingPrecision/2.

FilledSmallSquare The settings for AccuracyGoal and PrecisionGoal specify the number of digits to seek in both the value of the position of the minimum, and the value of the function at the minimum.

FilledSmallSquare FindMinimum continues until either of the goals specified by AccuracyGoal or PrecisionGoal is achieved.

FilledSmallSquare Possible settings for Method include "ConjugateGradient", "Gradient", "LevenbergMarquardt", "Newton" and "QuasiNewton", with the default being Automatic.

FilledSmallSquare See Section 1.6.5 and Section 3.9.8.

FilledSmallSquare Implementation Notes: see Section A.9.4.

FilledSmallSquare See also: FindMaximum, NMinimize, Minimize, FindFit, LinearProgramming, D, CholeskyDecomposition.

FilledSmallSquare New in Version 1; modified in 5.0.