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Abstract and Applied Analysis
Volume 2013, Article ID 267035, 6 pages
Research Article

Upper and Lower Bounds for Ranks of the Matrix Expression

School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China

Received 2 September 2013; Accepted 18 December 2013

Academic Editor: Changbum Chun

Copyright © 2013 Zhiping Xiong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the question of how to take such that the nonlinear matrix expression attains its maximal and minimal possible ranks.