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Minimum rank positive semidefinite solution to the matrix approximation problem in the spectral norm

  • Published:2020-09 Issue: Volume:107 Page:106408
  • ISSN:0893-9659
  • Container-title:Applied Mathematics Letters
  • language:en
  • Short-container-title:Applied Mathematics Letters

Author:

Liu Xifu,Luo Le

Funder

National Natural Science Foundation of China

Top-notch talent Foundation of Chongqing Normal University, China

Science and Technology Research Program of Chongqing Municipal Education Commission, China

Natural Science Foundation of Chongqing, China

Program of Chongqing Innovation Research Group Project

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference19 articles.

1. An approximation theory of matrix rank minimization and its application to quadratic equations;Zhao;Linear Algebra Appl.,2012

2. The smallest perturbation of a submatrix which lowers the rank and constrained total least squares problems;Demmel;SIAM J. Numer. Anal.,1987

3. A generalization of the Eckart-Young-Mirsky matrix approximation theorem;Golub;Linear Algebra Appl.,1987

4. Low Rank Approximation: Algorithms, Implementation, Applications;Markovsky,2012

5. Software for weighted structured low-rank approximation;Markovsky;J. Comput. Appl. Math.,2014

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