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k-广义Hermite矩阵
刘花璐¹, 陈希²
1.湖北理工学院数理学院, 湖北黄石 435003;2.湖北理工学院经济与管理学院, 湖北黄石 435003

摘要:

本文给出了k-广义(反)Hermite矩阵的概念,研究了它的性质及其与k-广义酉矩阵之间的联系,推广了酉矩阵和(反)Hermite矩阵的相应结果.

关键词: 次转置矩阵 k-广义酉矩阵 k-广义 (反)Hermite 矩阵

DOI：

分类号:O151.21

基金项目:湖北理工学院科研项目基金资助(11yjz37B);湖北省教育厅重点项目(D20144401).

THE k-GENERALIZED HERMITE MATRICES

LIU Hua-lu¹, CHEN Xi²

1.School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China;2.School of Economy and Management, Hubei Polytechnic University, Huangshi 435003, China

Abstract:

In this paper, we propose the definition of k-generalized (skew) Hermite matrices, and then discusses its properties and relations between them and k-generalized unitary matrices. Moreover, the corresponding results among unitary matrices and (skew) Hermite matrices are generalized.

Key words: sub-transpose matrices k-generalized unitary matrices k-generalized (skew) Hermite matrices