【摘要】 本文研究了k-广义酉矩阵的性质及其与酉矩阵、辛矩阵、Householder矩阵之间的联系,取得了许多新的结果,推广了酉矩阵及Householder矩阵的相应结果,特别将正交矩阵的广义Cayley分解推广到了广义酉矩阵上;并将各类酉矩阵及辛矩阵统一了起来.更多还原

【Abstract】 In this paper, the properties of k-generalized unitary matrix and relations between it and unitary matrix, symplectic matrix, Householder matrix are discussed, and many new results are obtained. Moreover, the corresponding results on relations among unitary matrix and Householder matrix are popularized, especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix , and various kinds of the unitary matrices and symplectic matrices are unified.更多还原