کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416122 | 1631097 | 2016 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On tropical supereigenvectors
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On tropical supereigenvectors On tropical supereigenvectors](/preview/png/6416122.png)
چکیده انگلیسی
The task of finding tropical eigenvectors and subeigenvectors, that is non-trivial solutions to Aâx=λâx and Aâxâ¤Î»âx in the max-plus algebra, has been studied by many authors since the 1960s. In contrast the task of finding supereigenvectors, that is solutions to Aâxâ¥Î»âx, has attracted attention only recently. We present a number of properties of supereigenvectors focusing on a complete characterization of the values of λ associated with supereigenvectors and in particular finite supereigenvectors. The proof of the main statement is constructive and enables us to find a non-trivial subspace of finite supereigenvectors. We also present an overview of key related results on eigenvectors and subeigenvectors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 498, 1 June 2016, Pages 574-591
Journal: Linear Algebra and its Applications - Volume 498, 1 June 2016, Pages 574-591
نویسندگان
Peter ButkoviÄ,