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FixedPointList

  • FixedPointList[ f , expr ] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.
  • See notes for FixedPoint.
  • FixedPointList[ f , expr ] gives expr as the first element of the list it produces.
  • See the Mathematica book: Section 2.2.2.
  • See also: NestList, ComposeList.

    Further Examples

    Starting with an initial value of 1.0, FixedPointList finds the fixed point of the cosine function rather quickly.

    In[1]:=

    Out[1]=

    This shows how slowly the function converges to its fixed point. FixedPointList stops after 2 successive results differ by less than .

    In[2]:=

    Out[2]=