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dc.contributor.author林荣珍
dc.contributor.author江飞
dc.date.accessioned2017-11-14T02:50:53Z
dc.date.available2017-11-14T02:50:53Z
dc.date.issued2006-12-30
dc.identifier.citation数学研究,2006,(04):64-70
dc.identifier.issn1006-6837
dc.identifier.otherSSYJ200604008
dc.identifier.urihttps://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.abstractIn 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.isozh_CN
dc.subjectk-幂零矩阵
dc.subject3-幂零矩阵
dc.subjectJordan标准型
dc.subject
dc.subject整数分拆
dc.subjectk-nilpotent matrix
dc.subject3-nilpotent matrix
dc.subjectJordan′s normal form
dc.subjectRank
dc.subjectPartion number of integer
dc.title3-幂零矩阵的相似等价类的计数
dc.title.alternativeThe Enumeration of Equivalence Class of 3-nilpotent Matrices
dc.typeArticle


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