Regularity properties of non-negative sparsity sets

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:447

Article

Tam, Matthew K.¹ 

[1] Univ Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, Germany

关键词: Mordukhovich normal cone;    Regularity;    Sparsity;    Rank constraint;    Positive semi-definite matrices;    Spectral functions;   

DOI  :  10.1016/j.jmaa.2016.10.040

来源: Elsevier

【 摘 要 】

This paper investigates regularity properties of two non-negative sparsity sets: non negative sparse vectors, and low-rank positive semi-definite matrices. Novel formulae for their Mordukhovich normal cones are given and used to formulate sufficient conditions for non-convex notions of regularity to hold. Our results provide a useful tool for justifying the application of projection methods to certain rank constrained feasibility problems. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free