کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598854 1631108 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
L2L2 norm preserving flow in matrix geometry
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
L2L2 norm preserving flow in matrix geometry
چکیده انگلیسی

In this paper, we study a new L2L2 norm preserving heat flow in matrix geometry. We show that if the initial data has trace zero and has unit L2L2 norm, this flow has a global solution and enjoys the entropy stability in any finite time. We show that as the time is approaching infinity, the flow has its limit as an eigen-matrix of the Laplacian operator. Interesting operator convex property of heat equation is also derived.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 487, 15 December 2015, Pages 220–231
نویسندگان
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