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Mathematica CalcCenter 2 (2002)

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LocateMinimum

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

FilledSmallSquare LocateMinimum[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 LocateMinimum[f, {x, xstart, xmin, xmax}] searches for a local minimum, stopping the search if x ever gets outside the range xmin to xmax.

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

FilledSmallSquare LocateMinimum works by following the path of steepest descent from each point that it reaches. The minima it finds are local, but not necessarily global.

FilledSmallSquare See also: LocateRoot, SolveEquation, SolveODE.

Examples

Using InstantCalculators

Here are the InstantCalculators for the LocateMinimum function. Enter the parameters for your calculation and click Calculate to see the result.

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Entering Commands Directly

You can paste a template for this command via the Text Input button on the LocateMinimum Function Controller.

This finds the value of x which minimizes Gamma[x], starting from x = 2.

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This finds the local minimum of a function of two variables. As in LocateRoot, it is a good idea to choose starting values that are not too special.

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