dc.contributor.author 林荣珍 dc.contributor.author 江飞 dc.date.accessioned 2017-11-14T02:50:53Z dc.date.available 2017-11-14T02:50:53Z dc.date.issued 2006-12-30 dc.identifier.citation 数学研究,2006,(04):64-70 dc.identifier.issn 1006-6837 dc.identifier.other SSYJ200604008 dc.identifier.uri https://dspace.xmu.edu.cn/handle/2288/154723 dc.description.abstract 主要对定义在一般数域上的3-幂零矩阵的相似等价类的个数问题进行探讨.从中得出n阶3-幂零矩阵秩的范围、n阶3-幂零矩阵的相似等价类的个数的计算公式,以及秩为r的所有n阶3-幂零矩阵的相似等价类的个数的计算公式. dc.description.abstract In this paper,we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.We get conclusions including the range of rank of n×n 3-nilpotent matrix,calculation formulas of the equivalence class number of 3-nilpotent matrix, and calculation formulas of the equivalence class number of 3-nilpotent matrix with constant rank is presented. dc.language.iso zh_CN dc.subject k-幂零矩阵 dc.subject 3-幂零矩阵 dc.subject Jordan标准型 dc.subject 秩 dc.subject 整数分拆 dc.subject k-nilpotent matrix dc.subject 3-nilpotent matrix dc.subject Jordan′s normal form dc.subject Rank dc.subject Partion number of integer dc.title 3-幂零矩阵的相似等价类的计数 dc.title.alternative The Enumeration of Equivalence Class of 3-nilpotent Matrices dc.type Article
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