Author

Kangkang Deng

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Review Open access Aug 2026

The Augmented Lagrangian Methods: Overview and Recent Advances

A unified and comprehensive perspective on constructing augmented Lagrangian functions (based on the Hestenes–Powell–Rockafellar augmented Lagrangian) for various optimization problems, including nonlinear programming and convex and nonconvex composite programming.

Kangkang Deng, Rui Wang, Zhenyuan Zhu et al. · SIAM Review · 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.

Benqi Liu, Kangkang Deng, Zichen Wang et al. · 0 citations