کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628666 1631832 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The exact solution of a system of quaternion matrix equations involving η-Hermicity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The exact solution of a system of quaternion matrix equations involving η-Hermicity
چکیده انگلیسی
A quaternion matrix A is called η-Hermitian if A=Aη∗=-ηA∗η,η∈{i,j,k}, where A∗ is the conjugate transpose of A. In this paper, we consider the following system of linear real quaternion matrix equations involving η-Hermicity:A1X=C1,A2Y=C2,ZB2=D2,A3X+(A3X)η∗+B3YB3η∗+C3ZC3η∗=D3where Y and Z are required to be η-Hermitian. We obtain some necessary and sufficient conditions for the existence of a solution (X,Y,Z) to above system, and give an expression of the general solution when the system is solvable. Our results include the main result of He and Wang (2013) [2] and other well-known results as special cases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 222, 1 October 2013, Pages 201-209
نویسندگان
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