FixedPoint.md

FixedPoint

FixedPoint(f, expr)

starting with expr, iteratively applies f until the result no longer changes.

FixedPoint(f, expr, n)

performs at most n iterations.

See:

• Wikipedia - Fixed-point iteration
• Wikipedia - Newton's method

Examples

>> FixedPoint(Cos, 1.0)
0.7390851332151607
 
>> FixedPoint(#+1 &, 1, 20)
21

>> FixedPoint(f, x, 0)
x

Non-negative integer expected.

>> FixedPoint(f, x, -1)
FixedPoint(f, x, -1)

>> FixedPoint(Cos, 1.0, Infinity)
0.739085

Related terms

FixedPointList, Nest, NestWhile

Implementation status

• ✅ - full supported

Github

• Implementation of FixedPoint