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 - <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>