A system of real quaternion matrix equations with applications |
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| Authors: | Qing-Wen Wang J.W. van der Woude |
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| Affiliation: | a Department of Mathematics, Shanghai University, Shanghai 200444, PR China
b Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands |
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| Abstract: | Let H be the real quaternion algebra and Hn×m denote the set of all n×m matrices over H. Let P∈Hn×n and Q∈Hm×m be involutions, i.e., P2=I,Q2=I. A matrix A∈Hn×m is said to be (P,Q)-symmetric if A=PAQ. This paper studies the system of linear real quaternion matrix equations |
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| Keywords: | 15A06 15A24 15A33 15A57 15A09 |
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