کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416319 1631129 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the eigenvalues of combined meet and join matrices
ترجمه فارسی عنوان
در مقادیر ویژه ماتریس های ملاقات و پیوستگی مشترک
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this article we give bounds for the eigenvalues of a matrix, which can be seen as a common generalization of meet and join matrices and therefore also as a generalization of both GCD and LCM matrices. Although there are some results concerning the factorizations, the determinant and the inverse of this so-called combined meet and join matrix, the eigenvalues of this matrix have not been studied earlier. Finally we also give a nontrivial lower bound for a certain constant cn, which is needed in calculating the above-mentioned eigenvalue bounds in practice. So far there are no such lower bounds to be found in the literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 466, 1 February 2015, Pages 1-20
نویسندگان
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