Solutions of a second-order conjugate matrix equation

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作者：
Yuan, Y. [1 ]
机构：
[1] Dept. of Basic Courses, East China Shipbuilding Institute, Zhenjiang Jiangsu 212003, China
来源：
| 2001年 / East China Shipbuilding Institute卷 / 15期
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摘要：
The following second-order conjugate matrix equation is considered: B* X* AXB + C*XB + D = 0, where B is a member of the set of Cp × m, A is a member of the set of Cn × n, C is a member of the set of Cn × m, D is a member of the set of Cm × m, the necessary and sufficient conditions, under which A > O and A greater than or equal O, C or B has full column rank, are studied, the explicit solutions of the equation are also given.
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