کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4663443 | 1345262 | 2015 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some further notes on the matrix equations ATX B + BTXTA = C and ATX B + BTX A = C
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Some further notes on the matrix equations ATX B + BTXTA = C and ATX B + BTX A = C Some further notes on the matrix equations ATX B + BTXTA = C and ATX B + BTX A = C](/preview/png/4663443.png)
چکیده انگلیسی
Dehghan and Hajarian, [4], investigated the matrix equations ATX B + BTXTA = C and ATX B + BTX A = C providing inequalities for the determinant of the solutions of these equations. In the same paper, the authors presented a lower bound for the product of the eigenvalues of the solutions to these matrix equations. Inspired by their work, we give some generalizations of Dehghan and Hajarian results. Using the theory of the numerical ranges, we present an inequality involving the trace of C when A,B,X are normal matrices satisfying ATB = BAT.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 35, Issue 1, January 2015, Pages 275-280
Journal: Acta Mathematica Scientia - Volume 35, Issue 1, January 2015, Pages 275-280