کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473520 | 698795 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An expression of the general common least-squares solution to a pair of matrix equations with applications
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, an explicit representation of the general common least-squares solution to the pair of matrix equations A1XB1=C1A1XB1=C1 and A2XB2=C2A2XB2=C2 is obtained. Furthermore, we use this result to determine the condition for the existence of a Hermitian least-squares solution to the matrix equation AXB=CAXB=C, and the expression of the general Hermitian least-squares solution is also given. Special attention is paid to consider the existence of Hermitian {1,i}{1,i}-inverses of AA, i=3i=3, 4, and the representations of the Hermitian generalized inverses are presented. Finally, a numerical example is given to illustrate our result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 10, May 2011, Pages 3071–3078
Journal: Computers & Mathematics with Applications - Volume 61, Issue 10, May 2011, Pages 3071–3078
نویسندگان
Xifu Liu, Hu Yang,