Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775124 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Matthew K. Tam,