Work

Single-call Polyak-Type Extragradient Methods for Monotone Root-Finding Problems

Year: 2026
Type: preprint
Abstract: We propose a single-call variant of Polyak extragradient, termed SPolyakEG, by recycling the previous extrapolation operator evaluation. Under a delayed critical condition, we establish that SPolyakEG achieves an $O(1/K)$ residual convergence rate for monotone operators and linear convergence under strong monotonicity. Compared with PolyakEG, SPolyakEG reduces the number of operator evaluations from two to one per iteration.
Author: Li, Keke
Language: English
Open Access status: green
OpenAlex ID: W7220740715
Cites: 1
Cited by:
Related to: 10