摘要
分析已有的矩阵奇异值不等式和受控理论.利用Weyl定理、k-范数以及弱受控的一些不等式,通过奇异值分解及排序不等式,结合已有结论,得到关于矩阵奇异值的3个不等式结果,即奇异值不等式,受控不等式和酉不变范数不等式.
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 including singular value inequalities,majorization inequalities and unitarily invariant norm inequalities.
出处
《纺织高校基础科学学报》
CAS
2016年第1期1-7,共7页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11471200)
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
singular values
singular value inequality
majorization
substochastic matrices
doubly substochastic matrices
