کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627490 | 1631810 | 2014 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the solutions of the quaternion interval systems [x]=[A][x]+[b][x]=[A][x]+[b]
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
It is known that linear matrix equations have been one of the main topics in matrix theory and its applications. The primary work in the investigation of a matrix equation (system) is to give solvability conditions and general solutions to the equation(s). In the present paper, for the quaternion interval system of the equations defined by [x]=[A][x]+[b][x]=[A][x]+[b], where [A][A] is a quaternion interval matrix and [b][b] and [x][x] are quaternion interval vectors, we derive a necessary and sufficient criterion for the existence of solutions [x][x]. Thus, we reduce the existence of a solution of this system in quaternion interval arithmetic to the existence of a solution of a system in real interval arithmetic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 244, 1 October 2014, Pages 375–381
Journal: Applied Mathematics and Computation - Volume 244, 1 October 2014, Pages 375–381
نویسندگان
Cennet Bolat, Ahmet İpek,