对称Loewner矩阵的若干性质  

SOME PROPERTIES OF SYMMETRIC LOEWNER MATRICES

作　　者：魏炜[1] 朱道宇[1] 胡永建[1] 

机构地区：[1]北京师范大学数学科学学院,北京100875

出　　处：《北京师范大学学报（自然科学版）》2006年第3期240-243,共4页Journal of Beijing Normal University(Natural Science)

基　　金：教育部科技创新工程重大项目培育资金资助项目(704004);国家自然科学基金资助项目(10271018)

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2个非对角对称Loewner矩阵的乘积仍为复对称Loewner矩阵的充要条件,以及条件满足时乘积的明确表达式.On the basis of intrinsic connections between symmetric Loewner matrix and interpolation for rational functions, this paper gives the necessary and sufficient conditions for the product of two nondiagonal symmetric Loewner matrices being also a symmetric Loewner matrix. The explicit formula of the product of such two symmetric Loewner matrices is also derived when these conditions are met.

关 键 词：对称Loewner矩阵 HERMITE插值多项式 零化多项式 极大矩阵代数 

分 类 号：O241.3[理学—计算数学]