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分式线性映射在矩阵中的应用
引用本文:李鹏同.分式线性映射在矩阵中的应用[J].山东理工大学学报,1995(4).
作者姓名:李鹏同
作者单位:山东工程学院基础部
摘    要:证明了Hermite矩阵在分式线性映射f(z)=e ioZ-a/z-a下的象为酉矩阵且Hermite矩阵的全体特征值被映照成相应酉矩阵的全体特征值。

关 键 词:分式线性映射  Hermite矩阵  酉矩阵

Application of Fractional Linear Mapping in Matrices
Li Pengtong.Application of Fractional Linear Mapping in Matrices[J].Journal of Shandong University of Technology:Science and Technology,1995(4).
Authors:Li Pengtong
Institution:Department of Basic Courses
Abstract:It has been proved that the image of Hermitian matrix mapped by thefractional linear mapping f(z) =e(10z-a/z-a)is as Unitary, and that all characteristic values ofHermitian mapped by the same mapping are also the same of the Unitary in this paper.
Keywords:Fractional linear mapping  Hermitian matrix  Unitary matrix  
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