TY - JOUR
T1 - Numerical Methods for $Q$-Weighted Nonnegative Matrix Tri-Factorization 
AU - Li , Chun-Mei
AU - Lu , Lin-Zhang
AU - Chen , Zhen
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 256
EP - 273
PY - 2020
DA - 2020/04
SN - 10
DO - http://doi.org/10.4208/eajam.150419.140719
UR - https://global-sci.org/intro/article_detail/eajam/16137.html
KW - Nonnegative matrix factorisation, necessary condition, PANLS method, ELS technique, clustering analysis.
AB - <p style="text-align: justify;">The $Q$-weighted nonnegative matrix tri-factorisation problem arising in clustering analysis is considered and a necessary condition for its optimal solution is obtained. The problem is solved by the proximal alternating nonnegative least squares method supplemented by an acceleration scheme. The convergence of the methods is studied. Numerical examples show the feasibility and efficiency of the methods proposed.&nbsp;</p>