摘要
讨论了3×3阶正交矩阵的特征值和迹的关系,证明了迹为整数的3×3阶正交矩阵的谱可由迹确定,为应用广泛的3×3阶正交矩阵的谱的计算提供了简单实用的方法.
The relationship between eigenvalues and traces of3×3orthogonal matrices are discussed firstly,and the spectrums of3×3orthogonal matrices whose traces are integers are proved to be decided by traces and are illustrated by several examples.The main results provide a simple and practical method for the calculation of spectrum of3×3orthogonal matrices,which have wide applications.
作者
陈梅香
杨忠鹏
晏瑜敏
冯晓霞
Chen Meixiang;Yang Zhongpeng;Yan Yumin;Yan Yumin(School of Mathematics and Finance,Putian University,Putian 351100,China;School of Mathematics and Statistics,Minnan Normal Universtiy,Zhangzhou 363000,China)
出处
《北华大学学报（自然科学版）》
CAS
2018年第2期159-164,共6页
Journal of Beihua University（Natural Science）
基金
国家自然科学基金资助项目(61772292)
2008年福建省高校服务海西建设重点项目(2008HX03)
福建省高校杰出青年科研人才培育计划项目(2016)
福建省中青年教师教育科研项目(JAT170499)
莆田学院研究项目(2016110
JG201630
2017084)
关键词
3阶正交矩阵
矩阵迹
特征值
正交标准型
3×3 orthogonal matrix
trace of matrix
eigenvalue
orthogonal standard type
