BUILT-IN MATHEMATICA SYMBOL

FixedPoint

FixedPoint[f, expr]
starts with expr, then applies f repeatedly until the result no longer changes.

Details and Options Details and Options

FixedPoint[f, expr, n] stops after at most n steps.
FixedPoint always returns the last result it gets.
You can use Throw to exit from FixedPoint before it is finished.
FixedPoint[f, expr] applies SameQ to successive pairs of results to determine whether a fixed point has been reached.
FixedPoint[f, expr, ..., SameTest->s] applies s to successive pairs of results.

Examples Examples open all close all

Basic Examples (3)Basic Examples (3)

Find a value such that :

Out[1]=

Out[2]=

Fixed point of an integer-valued function:

Out[1]=

Out[2]=

Repeated application of a rule until the result no longer changes:

Out[1]=

Out[2]=

Scope (2)Scope (2)

Generalizations & Extensions (1)Generalizations & Extensions (1)

Options (2)Options (2)

Applications (8)Applications (8)

Properties & Relations (3)Properties & Relations (3)

Possible Issues (1)Possible Issues (1)

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See Also See Also

FixedPointList NestWhile Nest ReplaceRepeated

Tutorials Tutorials

Applying Functions Repeatedly

Related Guides Related Guides

Related Links Related Links

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