کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498292 1631198 2005 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
How big can the commutator of two matrices be and how big is it typically?
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
How big can the commutator of two matrices be and how big is it typically?
چکیده انگلیسی
Numerical experiments show that the Frobenius norm of the commutator of two large matrices typically clusters sharply around a certain value, which, moreover, is much smaller than one would predict. The purpose of this paper is to give a rigorous foundation of this phenomenon. We also discuss the question how big the Frobenius norm of commutator of the two matrices can actually be.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 403, 1 July 2005, Pages 216-228
نویسندگان
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