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- W2893675364 abstract "Let Hm×n be the set of all m×n matrices over the quaternion algebra H. In this paper, we construct a simultaneous decomposition for seven matrices with compatible sizes: A∈Hm×n,B∈Hm×p1,C∈Hm×p2,D∈Hm×p3,E∈Hq1×n,F∈Hq2×n and G∈Hq3×n. As applications of the simultaneous matrix decomposition, we give some solvability conditions, general solutions, as well as the range of ranks of the general solutions to the following two generalized Sylvester matrix equations BXE+CYF+DZG=A and BX+WE+CYF+DZG=A, where A,B,C,D,E,F, and G are given quaternion matrices. Moreover, we provide some numerical examples to illustrate the results of this paper." @default.
- W2893675364 created "2018-10-05" @default.
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- W2893675364 date "2019-03-01" @default.
- W2893675364 modified "2023-10-17" @default.
- W2893675364 title "A simultaneous decomposition for seven matrices with applications" @default.
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- W2893675364 doi "https://doi.org/10.1016/j.cam.2018.09.001" @default.
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