摘要
研究了压缩矩阵的酉膨胀问题,以谱范数、数值域为工具,通过构造分块矩阵的方法,刻画了压缩矩阵的性质,得到了压缩矩阵的酉膨胀形式及矩阵存在酉膨胀的充要条件.
The unitary dilation of contraction is studied. Firstly, the property of contraction is investigated by using spectrum norm, numerical range and the method of constructing block matrix. Secondly, the form of unitary dilation for matrix and the existence of unitary dilation for some matrix of sufficient and necessary condition are obtained.
出处
《纺织高校基础科学学报》
CAS
2009年第4期413-417,共5页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10571113)
陕西师范大学重点基金资助项目(995281)
关键词
谱范数
酉矩阵
酉膨胀
数值域
spectrum norm
unitary matrix
unitary dilation
numerical range
