- Title
- A novel representation of rank constraints for real matrices
- Creator
- Delgado, Ramón A.; Agüero, Juan C.; Goodwin, Graham C.
- Relation
- Linear Algebra and Its Applications Vol. 496, Issue May 2016, p. 452-462
- Publisher Link
- http://dx.doi.org/10.1016/j.laa.2016.02.008
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2016
- Description
- We present a novel representation of rank constraints for non-square real matrices. We establish relationships with existing results and show that these are particular cases of our representation. One of these cases is a representation of the ℓ0 pseudo-norm, which is used in sparse representation problems. Finally, we describe how our representation can be included in rank-constrained optimization and in rank-minimization problems.
- Subject
- rank-minimization; low-rank approximation; sparse representation
- Identifier
- http://hdl.handle.net/1959.13/1319587
- Identifier
- uon:23909
- Identifier
- ISSN:0024-3795
- Language
- eng
- Full Text
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