A Note on the Equivalence of Operator Splitting Methods

Autor: Yuriy Zinchenko, Walaa M. Moursi
Rok vydání: 2019
Předmět:
Zdroj: Splitting Algorithms, Modern Operator Theory, and Applications ISBN: 9783030259389
Popis: This note provides a comprehensive discussion of the equivalences between some splitting methods. We survey known results concerning these equivalences which have been studied over the past few decades. In particular, we provide simplified proofs of the equivalence of the ADMM and the Douglas–Rachford method and the equivalence of the ADMM with intermediate update of multipliers and the Peaceman–Rachford method.
Databáze: OpenAIRE