Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605272 | Applied and Computational Harmonic Analysis | 2011 | 5 Pages |
Abstract
We prove a null space property for the uniqueness of the sparse solution vectors recovered from a minimization in ℓp quasi-norm subject to multiple systems of linear equations, where p∈(0,1]. Furthermore, we show that the null space property is equivalent to the null space property for the standard ℓp minimization subject to a single linear system. This answers the questions raised in Foucart and Gribonval (2010) [17].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis