基于DISPLACEMENT对一类分块矩阵及其逆的表示  

Expression a kinds of block matrices and its inverse based on displacement

作　　者：刘裕君[1] 

机构地区：[1]攀枝花学院数学与计算机学院,四川攀枝花617000

出　　处：《贵州师范大学学报（自然科学版）》2014年第4期48-51,共4页Journal of Guizhou Normal University：Natural Sciences

摘　　要：结构矩阵是一类比较常见的矩阵,比如循环矩阵,Toeplitz、Vandermonde、Cauchy等矩阵在代数和数值计算领域中经常出现,在工程学、通信和统计学中更为明显,这些结构矩阵与一些实际运用相关联。运用块displacement变换得到一些结构矩阵displacement结构,通过其displacement结构把一类分块结构矩阵及其逆矩阵表示成一些分块循环矩阵的和。Structure matrix is a kinds of matrices which is encountered usually,such as cyclic matrix,Toeplitz,Vandermonde,Cauchy matrices are common in the algebraic and numerical computing field,in engineering,Communication and statistics are more obvious.These structure matrices have relations with some application.Employing block displacement transform to get some structure matrices＇ displacement form and their expressions and their inverse by the sum of some block circulant matrices.

关 键 词：displacement算子 displacement秩 块f循环矩阵 

分 类 号：O151.21[理学—数学]