GRAAL for variational inequalities revisited: sharp parameter range and adaptive step sizes

This paper revisits the Golden Ratio Algorithm (GRAAL) of Malitsky (Math. Program. 184, 383--410, 2020) for monotone variational inequalities. The original analysis of GRAAL restricts the convex-combination parameter $c$ to $1

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.34975
Primary Topic
Optimization and Variational Analysis
Type
preprint
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preprint

GRAAL for variational inequalities revisited: sharp parameter range and adaptive step sizes

Matthew K. Tam, Santanu Soe, V. Vetrivel
arXiv (Cornell University)
Optimization and Variational Analysis
preprint

GRAAL for variational inequalities revisited: sharp parameter range and adaptive step sizes

Matthew K. Tam, Santanu Soe, V. Vetrivel
preprint en

Abstract

This paper revisits the Golden Ratio Algorithm (GRAAL) of Malitsky (Math. Program. 184, 383--410, 2020) for monotone variational inequalities. The original analysis of GRAAL restricts the convex-combination parameter $c$ to $1

arXiv (Cornell University)
Optimization and Variational Analysis
DOIOpen Access PDFOpenAlex
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