期刊
SYMMETRY-BASEL
卷 14, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/sym14020375
关键词
rank; generalized inverse; quaternion; linear matrix equation; solvability; necessary and sufficient conditions; applications
资金
- Natural Science Foundatuion of China [11971294, 12171369]
In this paper, the solvability conditions and the general solution formula for a Sylvester-like quaternion matrix equation are established. A sufficient and necessary conditions for a system of quaternion matrix equations to be consistent are also given, along with an expression of the general solution when the system is solvable. An algorithm and an example are presented to illustrate the main results of this paper. The findings of this paper generalize the known results in the literature.
In this paper, we establish the solvability conditions and the formula of the general solution to a Sylvester-like quaternion matrix equation. As an application, we give some necessary and sufficient conditions for a system of quaternion matrix equations to be consistent, and present an expression of the general solution of the system when it is solvable. We present an algorithm and an example to illustrate the main results of this paper. The findings of this paper generalize the known results in the literature.
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