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A Note on Von Neumann’s Trace Inequality(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年01期
Page:
5-
Research Field:
·数学·
Publishing date:

Info

Title:
A Note on Von Neumann’s Trace Inequality
Author(s):
Yang Xingdong; Su Runqing; Xu Weiwei; Liu Shihui; Ding Sanqin
College of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China
Keywords:
Von Neumann inequality; eigenvalue; singular value; trace; Frobenius norm
PACS:
O151.21
DOI:
10.3969/j.issn.1001-4616.2018.01.002
Abstract:
In this paper,the inequality of Von Neumann trace was studied by using the properties of the matrix divided into blocks,singular value and eigenvalue of the matrix. As a result,the inequalities of the matrix product trace were improved under the certain conditions. Besides,the established conclusions were extended.

References:

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Last Update: 2018-03-31