An Equivalence result for sketched Anderson Acceleration and sketched GMRES

Alberto Bucci; Fabio Durastante

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arXiv · 2607.04904

An Equivalence result for sketched Anderson Acceleration and sketched GMRES

Alberto Bucci·Fabio Durastante

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Abstract

In this paper we present an equivalence result between a randomized version of Anderson Acceleration and of randomized GMRES for linear problems. Namely, we extend the classical result of Walker and Ni (2011) to the case in which the least-squares problem in Anderson Acceleration is solved in a sketched space defined by a random projection. This equivalence suggests potential avenues for further research in the design and analysis of randomized acceleration methods.

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Alberto Bucci, Fabio Durastante. 2026-07-06. An Equivalence result for sketched Anderson Acceleration and sketched GMRES. https://arxiv.org/abs/2607.04904

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