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四元数矩阵的广义Schmidt分解与广酉空间中向量组的广义标准正交化
引用本文:林春艳,王卿文.四元数矩阵的广义Schmidt分解与广酉空间中向量组的广义标准正交化[J].数学研究,1997,30(2):210-212.
作者姓名:林春艳  王卿文
作者单位:山东财政学院基础部!济南,250014,山东昌潍师院数学系!潍坊,261043
摘    要:推广了四元数矩阵的Schmidt分解及广酉空间中向量组的标准正交化问题,给出了实四元数矩阵分解为广酉矩阵与生对角元全正的上三角阵乘积的实用方法.

关 键 词:四元数矩阵  广酉矩阵  广义正上阵

Generalized Schmidt Decomposition of Quaternion Matrix and the Generalized Orthonormalization of a Set of Vectors in a Generalized Unitary Space
Lin Chunyan.Generalized Schmidt Decomposition of Quaternion Matrix and the Generalized Orthonormalization of a Set of Vectors in a Generalized Unitary Space[J].Journal of Mathematical Study,1997,30(2):210-212.
Authors:Lin Chunyan
Abstract:In tthe pe we giw a practical metbod for decompositing aquaternion matrix into a multiplication of a generalized unitary metrix and an upper triangular matrix with all diagonal elemoents being positive, thus generaliaing the results of1].
Keywords:Quaternion matrix  Generalized unitary matrix  Generalized positive upper triangular matrix
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