Work

Do you precondition on the left or on the right?

Year: 2025

Type: preprint

Abstract: This work is a follow-up to a poster that was presented at the DD29 conference. Participants were asked the question: ``Do you precondition on the left or on the right?''. Here we report on the results of this social experiment. We also provide context on left, right and split preconditioning, share our literature review on the topic, and analyze some of the finer points. Two examples illustrate that convergence bounds can sometimes lead to misleading conclusions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2512.05160

Authors: Spillane, Nicole, Matalon, Pierre, Szyld, Daniel B

Institutions: Centre de Mathématiques Appliquées de l'École polytechnique, Temple University

Language: English

Topic: Stochastic Gradient Optimization Techniques

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Domain Decomposition Accelerators for Robust Krylov Subspace Methods

OpenAlex ID: W4417009347

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