کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897701 | 1631039 | 2018 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On nonnegative matrices with prescribed eigenvalues and diagonal entries
ترجمه فارسی عنوان
در ماتریس های غیرمستقیم با مقادیر اختصاصی و مقادیر مورب
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We consider the problem of the existence and construction of nonnegative matrices with prescribed spectrum and diagonal entries. Necessary and sufficient conditions have been obtained for nâ¤3, by Perfect and Fiedler, in the cases nonnegative and nonnegative symmetric, respectively. For nâ¥4, they obtained sufficient conditions. Many partial results about the problem have been published by several authors, mainly by Å migoc. This is a long-standing unsolved inverse problem, but also necessary to apply a perturbation result, due to R. Rado, which has played an important role in the study of nonnegative inverse eigenvalue and inverse elementary divisors problems. Distinct versions of Rado's result have been also obtained for certain structured matrices. To apply Rado's result and its different versions we need to guarantee the existence of an rÃr, r
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 556, 1 November 2018, Pages 400-420
Journal: Linear Algebra and its Applications - Volume 556, 1 November 2018, Pages 400-420
نویسندگان
Jaime H. Alfaro, Germain Pastén, Ricardo L. Soto,