纺织高校基础科学学报2016,Vol.29Issue(1):1-7,7.DOI:10.13338/j.issn.1006-8341.2016.01.001
关于矩阵奇异值的不等式
Study on singular value inequality of matrix
摘要
Abstract
Some existing singular value inequalities of matrix and theories of majorization are analyzed.New inequalities about singular value are obtained by using Weyl′s theorem,k-norms, inequalities about majorization relationship and some existing conclusion,these conclusions in-cluding singular value inequalities,majorization inequalities and unitarily invariant norm ine-qualities.关键词
奇异值/奇异值不等式/受控/双随机矩阵/次双随机矩阵Key words
singular values/singular value inequality/majorization/substochastic matrices/doubly substochastic matrices分类
数理科学引用本文复制引用
宫琴,任芳国..关于矩阵奇异值的不等式[J].纺织高校基础科学学报,2016,29(1):1-7,7.基金项目
国家自然科学基金资助项目(11471200) (11471200)