一类对称Loewner矩阵及其可逆性  

A Kind of Symmetric Loewner Matrices and Their Invertibility

作　　者：朱道宇[1] 

机构地区：[1]贵州民族学院数学与计算机科学学院,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2008年第5期441-444,448,共5页Journal of Guizhou University:Natural Sciences

摘　　要：利用对称Loewner矩阵与有理函数插值之间的内在联系,给出一类对称Loewner矩阵非奇异的充要条件,并给出逆矩阵的明确表达式,以及满足一定条件的奇异对称Loewner矩阵的Moore-Penrose逆的明确表达式。On the basis of intrinsic connections between symmetric Loewner matrix and interpolation for rational functions, this paper gives necessary and sufficient conditions for the invertibility of a complex symmetric Loewner matrix. An explicit formula for the inverse is given when these conditions are met. An explicit formula for Moore-Penrose generalized inverse of a singular symmetric Loewner matrix under certain conditions is also presented.

关 键 词：对称Loewner矩阵 有理函数插值 交错积 

分 类 号：O151.21[理学—数学]