Near-Optimal Single-Loop Predictor--Corrector Extragradient Method for Strongly Convex--Strongly Concave Minimax Optimization
We study smooth strongly convex--strongly concave minimax optimization in the deterministic unconstrained setting, without assuming a bilinear or separable structure. Although existing multi-loop methods attain near-optimal condition-number dependence, standard single-loop methods generally exhibit a substantial complexity gap. To close this gap, we propose the Single-Loop Predictor--Corrector Extragradient Method with Damped Momentum (PCE-DM), which combines an extragradient prediction--correction scheme with a novel auxiliary feedback recursion for the weaker-curvature variable. PCE-DM uses fixed parameters and two new full-gradient evaluations per iteration after one initialization que...
| Authors | Minhao Zhang, Zi Xu |
|---|---|
| Primary category | math.OC |
| Published | 17 September 2026 |
| Last updated at source | 28 September 2026 |
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