纺织高校基础科学学报2017，Vol.30Issue(1)：1-5,5.DOI:10.13338/j.issn.1006-8341.2017.01.001
二、三阶方阵的等迹分解
The equal trace decompositions of second order and third order square matrices
摘要
Abstract
The equal trace decompositions of second and third order square matrices are mainly studied by using construction methods.Firstly,it is proved that the equal trace decompositions exists if the matrix is second order square matrix;and then some third order square matrices satisfying that any diagonal entry is different from each other and nonzero,can be decomposed into two matrices with trace-1;Moreover,it is showed that the equal trace decompositions exists if the traces of these matrices is nonzero,and the equal trace decompositions of some kind of third-order block diagonal matrices also exist.Finally,one application of the main results is given by an example.关键词
二阶方阵/三阶方阵/等迹分解Key words
second order square matrix/third order square matrix/equal trace decomposition分类
数理科学引用本文复制引用
吴马威,陈益智,骆莉芳..二、三阶方阵的等迹分解[J].纺织高校基础科学学报,2017,30(1):1-5,5.基金项目
广东省自然科学基金资助项目(2015A030310119) （2015A030310119）
广东省高校优秀青年教师培养计划项目(YQ2015155) （YQ2015155）
广东大学生科技创新培育专项资金项目(PDJH2016B0477) （PDJH2016B0477）
