full
search.png

Search

close.png

Cancel

arrow
Volume 10, Issue 4
ADMM-Based Methods for Nearness Skew-Symmetric and Symmetric Solutions of Matrix Equation $AXB = C$

Dongmei Yu, Cairong Chen & Deren Han

DOI: 10.4208/eajam.100719.230320

East Asian J. Appl. Math., 10 (2020), pp. 698-716.

Published online: 2020-08

Preview Purchase PDF 2205 43061

Cited by

google scholar semantic scholar
Export citation
  • Abstract

New equivalent forms of a matrix nearness problem are proposed and necessary and sufficient conditions for a skew-symmetric or symmetric matrix $X$∗ to be a solution of the problem are obtained. In order to find approximate solutions of the problem, we employ two ADMM-based iterative methods and prove their global convergence. Numerical simulations demonstrate the effectiveness of the methods developed.

  • Keywords

ADMM, matrix nearness problem, global convergence, preconditioning, iterative method.

  • AMS Subject Headings

15A24, 15A39, 65F30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-10-698, author = {Yu , DongmeiChen , Cairong and Han , Deren}, title = {ADMM-Based Methods for Nearness Skew-Symmetric and Symmetric Solutions of Matrix Equation $AXB = C$}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {4}, pages = {698--716}, abstract = {

New equivalent forms of a matrix nearness problem are proposed and necessary and sufficient conditions for a skew-symmetric or symmetric matrix $X$∗ to be a solution of the problem are obtained. In order to find approximate solutions of the problem, we employ two ADMM-based iterative methods and prove their global convergence. Numerical simulations demonstrate the effectiveness of the methods developed.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100719.230320 }, url = {http://global-sci.org/intro/article_detail/eajam/17949.html} }
TY - JOUR T1 - ADMM-Based Methods for Nearness Skew-Symmetric and Symmetric Solutions of Matrix Equation $AXB = C$ AU - Yu , Dongmei AU - Chen , Cairong AU - Han , Deren JO - East Asian Journal on Applied Mathematics VL - 4 SP - 698 EP - 716 PY - 2020 DA - 2020/08 SN - 10 DO - http://doi.org/10.4208/eajam.100719.230320 UR - https://global-sci.org/intro/article_detail/eajam/17949.html KW - ADMM, matrix nearness problem, global convergence, preconditioning, iterative method. AB -

New equivalent forms of a matrix nearness problem are proposed and necessary and sufficient conditions for a skew-symmetric or symmetric matrix $X$∗ to be a solution of the problem are obtained. In order to find approximate solutions of the problem, we employ two ADMM-based iterative methods and prove their global convergence. Numerical simulations demonstrate the effectiveness of the methods developed.

Yu , DongmeiChen , Cairong and Han , Deren. (2020). ADMM-Based Methods for Nearness Skew-Symmetric and Symmetric Solutions of Matrix Equation $AXB = C$. East Asian Journal on Applied Mathematics. 10 (4). 698-716. doi:10.4208/eajam.100719.230320
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard