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Mathematical Problems in Engineering
Volume 2016, Article ID 8673809, 13 pages
Research Article

Explicit Determinantal Representation Formulas of -Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field

Pidstrygach Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv 79060, Ukraine

Received 25 January 2016; Accepted 24 April 2016

Academic Editor: Romain Aubry

Copyright © 2016 Ivan I. Kyrchei. 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.

  • Ivan Kyrchei, “Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore–Penrose inverse,” Applied Mathematics and Computation, vol. 309, pp. 1–16, 2017. View at Publisher · View at Google Scholar
  • Ivan I. Kyrchei, “Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation,” Journal of Applied Mathematics and Computing, 2017. View at Publisher · View at Google Scholar
  • Ivan Kyrchei, “Determinantal Representations of Solutions to Systems of Quaternion Matrix Equations,” Advances in Applied Clifford Algebras, vol. 28, no. 1, 2018. View at Publisher · View at Google Scholar