کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599592 | 1631145 | 2014 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the matrix sequence {Î(Am)}m=1â for a Boolean matrix A whose digraph is linearly connected
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we extend the results given by Park et al. [12] by studying the convergence of the matrix sequence {Î(Am)}m=1â for a matrix AâBn the digraph of which is linearly connected with an arbitrary number of strong components. In the process for generalization, we concretize ideas behind their arguments. We completely characterize A for which {Î(Am)}m=1â converges. Then we find its limit when all of the irreducible diagonal blocks are of order at least two. We go further to characterize A for which the limit of {Î(Am)}m=1â is a J block diagonal matrix. All of these results are derived by studying the m-step competition graph of the digraph of A.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 450, 1 June 2014, Pages 56-75
Journal: Linear Algebra and its Applications - Volume 450, 1 June 2014, Pages 56-75
نویسندگان
Jihoon Choi, Suh-Ryung Kim,