%0 Journal Article
%T On Rank Invariance of Generalized Block Pick Matrices of Matrix-valued Caratheodory Functions<br>矩阵值Caratheodory函数广义块Pick矩阵的秩不变性
%A HE Qin
%A XU Qing-Zhou
%A CHEN Gong-Ning
%A <br>贺勤
%A 徐清舟
%A 陈公宁
%J 数学物理学报(A辑)
%D 2012
%I 
%X Lasarow1] derived statements on the rank invariance of generalized block Pick matrices of matrix-valued Carath′eodory functions. In this paper, it is concluded that the rank of such generalized block Pick matrices can be related to and coincides with the rank of some block Toeplitz matrices in terms of the Toeplitz vector approach given in 2]. These results are used to improve the proof of the rank invariance of the generalized block Pick matrices in certain sence.
%K Matrix-valued Caratheodory functionzz
%K Generalized block Pick matrixzz
%K Block Toeplitz matrixzz
%K Rank invariancezz<br>q
%K ×
%K q
%K Caratheodory函数
%K 广义块Pick矩阵
%K 块Toeplitz矩阵
%K 秩不变性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F06EF2ACEE2C4B9903&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=89F76E117E9BDB76&eid=4BB057F167CF3A60&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0