Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications
نویسندگان
چکیده
منابع مشابه
Ranks of the common solution to some quaternion matrix equations with applications
We derive the formulas of the maximal andminimal ranks of four real matrices $X_{1},X_{2},X_{3}$ and $X_{4}$in common solution $X=X_{1}+X_{2}i+X_{3}j+X_{4}k$ to quaternionmatrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3}$. Asapplications, we establish necessary and sufficient conditions forthe existence of the common real and complex solutions to the matrixequations. We give the exp...
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 182 شماره
صفحات -
تاریخ انتشار 2006