3 papers
math.OC2026
A Second-Order Algorithm Based on Affine Scaling Interior-Point Methods for nonlinear Optimisation with bound constraints
Yonggang Pei, Yubing Lin, Mauricio Silva Louzeiro +1
The homogeneous second-order descent method (Zhang et al. 2025, Mathematics of Operations Research) was initially proposed for unconstrained optimisation problems. HSODM shows exce…
math.OC2025
A scalable sequential adaptive cubic regularization algorithm for optimization with general equality constraints
Yonggang Pei, Yubing Lin, Shuai Shao +2
The scalable adaptive cubic regularization method (: Dussault et al. in Math. Program. Ser. A 207(1-2): 191-225, 2024) has been recently proposed for unconstrain…
math.OC2024
A line search filter sequential adaptive cubic regularisation algorithm for nonlinearly constrained optimization
Yonggang Pei, Jingyi Wang, Shaofang Song +2
In this paper, a sequential adaptive regularization algorithm using cubics (ARC) is presented to solve nonlinear equality constrained optimization. It is motivated by the idea of h…