Author

Zai-Wen Wen

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Preprint Sep 2026

The Minimum Q-Order of BFGS with Exact Line Search Is One

Powell asked whether the smoothness assumptions underlying classical superlinear convergence force a fixed power law between adjacent iterates of exact-line-search variable-metric methods. We answer this question negatively for BFGS: within the smooth strongly convex setting, the smallest possible adjacent-iterate Q-or...

Ben-Qi Liu, Chen-Yi Li, Zai-Wen Wen · 0 citations