Erratum to "The Real and Complex Hermitian Solutions to a System of Quaternion Matrix Equations with Applications"
نویسنده
چکیده
We establish necessary and sufficient conditions for the existence of and the expressions for the general real and complex Hermitian solutions to the classical system of quaternion matrix equationsA1X C1, XB1 C2, and A3XA3 C3. Moreover, formulas of the maximal andminimal ranks of four real matrices X1, X2, X3, and X4 in solution X X1 X2i X3j X4k to the system mentioned above are derived. As applications, we give necessary and sufficient conditions for the quaternion matrix equations A1X C1, XB1 C2, A3XA3 C3, and A4XA ∗ 4 C4 to have real and complex Hermitian solutions.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012