کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4598455 | 1631085 | 2016 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Roth's solvability criteria for the matrix equations AX−XˆB=C and X−AXˆB=C over the skew field of quaternions with an involutive automorphism q↦qˆ
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Roth's solvability criteria for the matrix equations AX−XˆB=C and X−AXˆB=C over the skew field of quaternions with an involutive automorphism q↦qˆ Roth's solvability criteria for the matrix equations AX−XˆB=C and X−AXˆB=C over the skew field of quaternions with an involutive automorphism q↦qˆ](/preview/png/4598455.png)
چکیده انگلیسی
The matrix equation AX−XB=CAX−XB=C has a solution if and only if the matrices [AC0B] and [A00B] are similar. This criterion was proved over a field by W.E. Roth (1952) and over the skew field of quaternions by Huang Liping (1996). H.K. Wimmer (1988) proved that the matrix equation X−AXB=CX−AXB=C over a field has a solution if and only if the matrices [AC0I] and [I00B] are simultaneously equivalent to [A00I] and [I00B]. We extend these criteria to the matrix equations AX−XˆB=C and X−AXˆB=C over the skew field of quaternions with a fixed involutive automorphism q↦qˆ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 510, 1 December 2016, Pages 246–258
Journal: Linear Algebra and its Applications - Volume 510, 1 December 2016, Pages 246–258
نویسندگان
Vyacheslav Futorny, Tetiana Klymchuk, Vladimir V. Sergeichuk,