@Article{EAJAM-10-4,
author = {Yu, Dongmei and Chen, 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 = {<p style="text-align: justify;">New equivalent forms of a matrix nearness problem are proposed and necessary and sufficient conditions for a skew-symmetric or symmetric matrix $X$<sup>∗</sup><sup>&nbsp;</sup>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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.100719.230320},
url = {https://global-sci.com/article/82577/admm-based-methods-for-nearness-skew-symmetric-and-symmetric-solutions-of-matrix-equation-axb-c}
}