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三次幂等矩阵的线性组合的三次幂等性 被引量:4

Tripotency of Linear Combinations of Tripotent Matrices
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摘要 给出了三个三次幂等矩阵的线性组合是三次幂等矩阵的一些充要条件. Tripotent matrix is one of most important contents in matrix analysis. In this paper, some sufficient and necessary conditions for the tripotency of linear combinations of three tripotent matrices are given.
作者 杨凯凡
出处 《喀什师范学院学报》 2009年第3期9-12,共4页 Journal of Kashgar Teachers College
基金 陕西理工学院基金项目资助
关键词 三次幂等矩阵 线性组合 幂等性 Tripotent matrix Linear combinations Tripotency
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参考文献5

  • 1Baksalary J K,Baksalary 0 M,Styan O P H.ldempotency of linear combinations of an idempotent matrix and a tripotent matrix[J].Linear Algebra Appl,2002,(354):21-34.
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同被引文献32

  • 1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
  • 2戴华.矩阵轮[M].北京:北京大学出版社,2001.
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  • 4Puh. K,Yao X Y,Deng C Y. Invertibility of linear combi nation of two idempotent matrices[J]. Proceeding of the American Mathematical Society, 2005,133 : 1 451-1 457.
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  • 6杨克勋,包学游.矩阵分析[M].哈尔滨:哈尔滨工业大学出版社,1988.
  • 7王秀芳.幂等矩阵的性质研究[J].连云港师范高等专科学校学报,2007,24(3):83-84. 被引量:5
  • 8Baksalary J K,Baksalary O M.Idemoptency of linear combinations of three idempotent matrices[J].Linear Algebra Appl,2000,321:3-7.
  • 9Baksalary O M.Idemoptency of linear combinations of three idempotent matrices,two of which are disjoint[J].Linear Algebra Appl,2004,388:67-68.
  • 10Benitez J,Thome N.Idemoptency of linear combinations of an idempotent matrix and t-potent matrix and commute[J].Linear Algebra Appl,2004,403:414-418.

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