The Akra-Bazzi theorem and the Master theorem

 

Title: The Akra-Bazzi theorem and the Master theorem
Author: Manuel Eberl
Submission date: 2015-07-14
Abstract: This article contains a formalisation of the Akra-Bazzi method based on a proof by Leighton. It is a generalisation of the well-known Master Theorem for analysing the complexity of Divide & Conquer algorithms. We also include a generalised version of the Master theorem based on the Akra-Bazzi theorem, which is easier to apply than the Akra-Bazzi theorem itself.

Some proof methods that facilitate applying the Master theorem are also included. For a more detailed explanation of the formalisation and the proof methods, see the accompanying paper (publication forthcoming).

BibTeX:
@article{Akra_Bazzi-AFP,
  author  = {Manuel Eberl},
  title   = {The Akra-Bazzi theorem and the Master theorem},
  journal = {Archive of Formal Proofs},
  month   = jul,
  year    = 2015,
  note    = {\url{http://isa-afp.org/entries/Akra_Bazzi.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Landau_Symbols