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Journal of Applied Mathematics
Volume 2014, Article ID 795203, 5 pages
Research Article

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

1College of Science, Linyi University, Linyi, Shandong 276005, China
2College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
3College of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, China
4State Key Laboratory for Geomechanics and Deep Underground Engineering, Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Received 12 May 2014; Revised 15 August 2014; Accepted 21 August 2014; Published 1 September 2014

Academic Editor: Fan Min

Copyright © 2014 Tongsong Jiang et al. 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.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Si-Tao Ling, Xue-Han Cheng, and Tong-Song Jiang, “Consimilarity of quaternions and coneigenvalues of quaternion matrices,” Applied Mathematics And Computation, vol. 270, pp. 984–992, 2015. View at Publisher · View at Google Scholar
  • Guangjing Song, and Shaowen Yu, “Nonnegative definite and Re-nonnegative definite solutions to a system of matrix equations with statistical applications,” Applied Mathematics and Computation, vol. 338, pp. 828–841, 2018. View at Publisher · View at Google Scholar
  • Guang-Jing Song, Qing-Wen Wang, and Shao-Wen Yu, “Cramer’s rule for a system of quaternion matrix equations with applications,” Applied Mathematics and Computation, vol. 336, pp. 490–499, 2018. View at Publisher · View at Google Scholar