English

A novel representation of rank constraints for non-square real matrices

Optimization and Control 2014-10-10 v1

Abstract

We present a novel representation of rank constraints for non-square real matrices. We establish relationships with some existing results, which are particular cases of our representation. One of these particular cases, is a representation of the 0\ell_0 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.

Keywords

Cite

@article{arxiv.1410.2317,
  title  = {A novel representation of rank constraints for non-square real matrices},
  author = {Ramón A. Delgado and Juan C. Agüero and Graham C. Goodwin},
  journal= {arXiv preprint arXiv:1410.2317},
  year   = {2014}
}

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6 pages