کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599775 | 1631152 | 2014 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Flandersʼ theorem for many matrices under commutativity assumptions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We analyze the relationship between the Jordan canonical form of products, in different orders, of k square matrices A1,â¦,Ak. Our results extend some classical results by H. Flanders. Motivated by a generalization of Fiedler matrices, we study permuted products of A1,â¦,Ak under the assumption that the graph of non-commutativity relations of A1,â¦,Ak is a forest. Under this condition, we show that the Jordan structure of all nonzero eigenvalues is the same for all permuted products. For the eigenvalue zero, we obtain an upper bound on the difference between the sizes of Jordan blocks for any two permuted products, and we show that this bound is attainable. For k=3 we show that, moreover, the bound is exhaustive.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 443, 15 February 2014, Pages 120-138
Journal: Linear Algebra and its Applications - Volume 443, 15 February 2014, Pages 120-138
نویسندگان
Fernando De Terán, Ross A. Lippert, Yuji Nakatsukasa, Vanni Noferini,