Author

Benqi Liu

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Preprint Sep 2026

Halpern-Accelerated Majorized ADMM with Optimal Non-Ergodic Convergence under Degenerate Preconditioning

We develop a Halpern-accelerated majorized alternating direction method of multipliers (ADMM) with possibly indefinite proximal terms for linearly constrained convex composite optimization. Majorization simplifies the subproblems but introduces a forward perturbation to the standard degenerate proximal point representa...

Ning Zhang, Ben-Qi Liu, Li-Wei Zhang · 0 citations

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

Preprint Aug 2026

A Fixed-Penalty Linearized Augmented Lagrangian Method with Classical Multiplier Updates

This work proposes a nonlinear-residual linearized augmented Lagrangian method (NR-LALM) that replaces this subproblem by a regularized Gauss-Newton-type step while retaining the classical multiplier update based on the nonlinear constraint residual.

Ben-Qi Liu, Kangkang Deng, Zichen Wang et al. · 0 citations