Abstract
In this paper, some solution expressions to the quaternion matrix equation X−AXF=BY are obtained. They are the further conclusions of the paper (Song et al. in Int. J. Comput. Math. 89:890–900, 2012). By applying of Kronecker map and complex representation of a quaternion matrix, the sufficient conditions for finding the solution have been established. At the end of the article, numerical examples show the applications of the proposed explicit solution.
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The authors are very grateful to the anonymous reviewers and the editor for their helpful comments and suggestions which have helped them in improving the quality of this paper.
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This project is granted financial support from NSFC (no. 11071079), NSFC (no. 10901056), Shanghai Science and Technology Commission Venus (11QA1402200), Zhejiang Nature Science Foundation (no. Y6110043) and the Fundamental Research Funds for the Central Universities.
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Song, C., Wang, X. & Zhang, X. On solutions of the generalized Stein quaternion matrix equation. J. Appl. Math. Comput. 43, 115–131 (2013). https://doi.org/10.1007/s12190-013-0655-3
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DOI: https://doi.org/10.1007/s12190-013-0655-3