Decompositions of graphs of functions and efficient iterations of lookup tables

Boaz Tsaban

doi:10.1016/j.dam.2006.06.006

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Decompositions of graphs of functions and efficient iterations of lookup tables

Boaz Tsaban

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Abstract

We show that every function f implemented as a lookup table can be implemented such that the computational complexity of evaluating f^m(x) is small, independently of m and x. The implementation only increases the storage space by a small_constant_ factor.

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Boaz Tsaban. 2005-08-31. Decompositions of graphs of functions and efficient iterations of lookup tables. https://doi.org/10.1016/j.dam.2006.06.006

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