中文

Constraint Identification and Algorithm Stabilization for Degenerate Nonlinear Programs

最优化与控制 2025-10-20 v1 数值分析 数值分析

摘要

In the vicinity of a solution of a nonlinear programming problem at which both strict complementarity and linear independence of the active constraints may fail to hold, we describe a technique for distinguishing weakly active from strongly active constraints. We show that this information can be used to modify the sequential quadratic programming algorithm so that it exhibits superlinear convergence to the solution under assumptions weaker than those made in previous analyses.

关键词

引用

@article{arxiv.math/0012209,
  title  = {Constraint Identification and Algorithm Stabilization for Degenerate Nonlinear Programs},
  author = {Stephen J. Wright},
  journal= {arXiv preprint arXiv:math/0012209},
  year   = {2025}
}

备注

21 pages