迹为整数的3×3阶正交矩阵的谱  

Spectrum of 3×3 Orthogonal Matrices Whose Traces are Integers

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)

机构地区：[1]莆田学院数学与金融学院,福建莆田351100 [2]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《北华大学学报（自然科学版）》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)

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.

关 键 词：3阶正交矩阵 矩阵迹 特征值 正交标准型 

分 类 号：O151.21[理学—数学]