کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599055 | 1631121 | 2015 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some results on the structure and spectra of matrix-products
ترجمه فارسی عنوان
برخی نتایج در ساختار و طیف محصولات ماتریکس
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We consider certain matrix-products where successive matrices in the product belong alternately to a particular qualitative class or its transpose. The main theorems relate structural and spectral properties of these matrix-products to the structure of underlying bipartite graphs. One consequence is a characterisation of caterpillars: a graph is a caterpillar if and only if all matrix-products associated with it have real nonnegative spectrum. Several other equivalences of this kind are proved. The work is inspired by certain questions in dynamical systems where such products arise naturally as Jacobian matrices, and the results have implications for the existence and stability of equilibria in these systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 474, 1 June 2015, Pages 192–212
Journal: Linear Algebra and its Applications - Volume 474, 1 June 2015, Pages 192–212
نویسندگان
Murad Banaji, Carrie Rutherford,