Affiliation:
1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
Abstract
Recent works on the multilinear system
with an order-
and dimension-
tensor
and a vector
of dimension-
have been motivated by their applications in data mining, numerical PDEs, tensor complementary problems, and so on. In this paper, we propose an alternating minimization method for the solution of the system mentioned above and present several randomized versions of this algorithm in order to improve its performance. The provided numerical experiments show that our methods are feasible for any tensor
and outperform some existing ones in the same case.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics