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3-幂零矩阵Jordan规范型的计数 被引量:2

The Enumeration of Jordan's Normal Form of 3-nilpotent Matrices
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摘要 证明了n阶3-幂零矩阵秩的取值范围,并给出多种表示方法。同时,得到n阶3-幂零矩阵秩为定值时Jordan规范型个数的算法,并根据表示法,算出最大秩的Jordan规范型的个数。 The value range of rank of 3-nilpotent matrix which was expressed by several methods was proved. Calculations for the number of Jordan's normal form of 3-nilpotent matrices were given. In view of calculations, the number of the maximum rank of Jordan's normal form was computed.
出处 《莆田学院学报》 2013年第5期5-8,28,共5页 Journal of putian University
基金 国家自然科学基金资助项目(11201063) 福建省自然科学基金资助项目(2013J05013) 福建省教育厅基金资助项目(JA11209 JB11173)
关键词 3-幂零矩阵 Jordan规范型 高斯函数 3-nilpotent matrix Jordan's normal form rank Gaussian function
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