English

Generalized singular value thresholding operator to affine matrix rank minimization problem

Optimization and Control 2018-04-24 v3

Abstract

It is well known that the affine matrix rank minimization problem is NP-hard and all known algorithms for exactly solving it are doubly exponential in theory and in practice due to the combinational nature of the rank function. In this paper, a generalized singular value thresholding operator is generated to solve the affine matrix rank minimization problem. Numerical experiments show that our algorithm performs effectively in finding a low-rank matrix compared with some state-of-art methods.

Keywords

Cite

@article{arxiv.1707.00573,
  title  = {Generalized singular value thresholding operator to affine matrix rank minimization problem},
  author = {Angang Cui and Haiyang Li and Jigen Peng and Junxiong Jia},
  journal= {arXiv preprint arXiv:1707.00573},
  year   = {2018}
}
R2 v1 2026-06-22T20:36:27.961Z