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幂等和k+1次幂等矩阵线性组合的立方幂等性 被引量：3

On Tripotency of Linear Combinations of Idempotency Matrices and k+1 Potent Idempotency Matrices
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摘要 应用矩阵分析方法,研究了幂等矩阵和k＋1（k≥1,k∈（9）＊）次幂等矩阵线性组合的立方幂等性,讨论了此条件下其线性组合为立方幂等矩阵的所有情形. Applying the method of matrix analysis,tripotency of linear combinations of idempotency matrices and k＋1（k≥1,k∈（9）＊） potent idempotency matrices are discussed.This paper deliberates all the situations that linear combinations of the above-metioned conditions are tripotency matrics.
作者 赵艳红
机构地区 北华大学数学学院
出处 《北华大学学报（自然科学版）》 CAS 2011年第2期166-171,共6页 Journal of Beihua University（Natural Science）
基金 吉林省教育厅科学技术研究项目(2009-158)
关键词 幂等矩阵 k+1次幂等矩阵 线性组合 立方幂等矩阵 idempotency matrices k＋1 potent idempotency matrices linear combination tripotency matrices
分类号 O151.21 [理学—基础数学]
  • 相关文献

参考文献6

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二级参考文献20

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共引文献19

同被引文献28

  • 1马维军,杨树文.可逆阵的线性组合[J].哈尔滨商业大学学报（自然科学版）,2004,20(3):323-324. 被引量：2
  • 2王月清,王爱丽.3个幂等矩阵线性组合的幂等性[J].宝鸡文理学院学报（自然科学版）,2005,25(3):167-168. 被引量：7
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引证文献3

二级引证文献1

北华大学学报（自然科学版）
2011年 第2期

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