• Corpus ID: 239998177

# Constrained Optimization Involving Nonconvex 𝓁p Norms: Optimality Conditions, Algorithm and Convergence

@article{Wang2021ConstrainedOI,
title={Constrained Optimization Involving Nonconvex 𝓁p Norms: Optimality Conditions, Algorithm and Convergence},
author={Hao Wang and Yining Gao and Jiashan Wang and Hongying Liu},
journal={ArXiv},
year={2021},
volume={abs/2110.14127}
}
• Published 27 October 2021
• Mathematics
• ArXiv
This paper investigates the optimality conditions for characterizing the local minimizers of the constrained optimization problems involving an p norm (0 < p < 1) of the variables, which may appear in either the objective or the constraint. This kind of problems have strong applicability to a wide range of areas since usually the p norm can promote sparse solutions. However, the nonsmooth and non-Lipschtiz nature of the p norm often cause these problems difficult to analyze and solve. We…
1 Citations

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