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分配伪格上积和式Per(A)=1的矩阵 被引量:2

The Matrices of Permanent Per(A)=1 over Distributive Pseudolattices
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摘要 在分配伪格上,讨论积和式Per(A)=1的矩阵,得到了积和式Per(A)=1的矩阵的若干条件和性质. Focuses on the discussion of the matrices of permanent Per(A) = 1 over distributive pseudolattices and presents several condition and properties of it.
作者 张国勇
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第1期16-18,33,共4页 Journal of Fujian Normal University:Natural Science Edition
基金 福建省自然科学基金资助项目(2008J0186)
关键词 分配伪格 积和式 可逆矩阵 正交 distributive pseudolattices permanent invertible matrix orthogonal
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参考文献6

  • 1Han S C, Li H X. Invertible incline matrices and Cramer's rule over inclines . Linear Algebra Appt, 2004 (389): 121--138.
  • 2Han S C, Li H X. Indices and periods of incline matrices[J]. Linear Algebra Appl, 2004 (387) : 143--165.
  • 3Zhang K L. Determinant theory for D01-lattice matrices [J]. Fuzzy Sets and Systems, 1994 (62) : 347--353.
  • 4Cho H H. Fuzzy matrices of permanent one [J]. Fuzzy Sets and Systems, 1993 (56). 291--296.
  • 5张国勇.分配伪格上的可逆矩阵及其性质[J].福州大学学报(自然科学版),2008,36(1):7-9. 被引量:7
  • 6Zhang G Y. Invertible matrices over distributive pseudolattiees [J]. World Academic Union, 2006 (19): 242--245.

二级参考文献2

共引文献6

同被引文献13

  • 1Ahn S $. Permanents over inclines and other semirings[J]. Pure Math Appl, 1997, 8(2-4): 147-154.
  • 2Cao Z Q, Kim K H, Roush F W. Incline Algebra and Applications[M]. New York: John Wiley, 1984.
  • 3Han S C, Li H X. On nilpotent incline matrices[J]. Linear Algebra Appl, 2005, 4(6): 201-217.
  • 4Han S C, Li H X. Invertible incline matrices and Cramer's rule over inclines[J]. Linear Algebra Appl, 2004, 389: 121-138.
  • 5Zhang K L. Determinant theory for D01-1attice matrices[J]. Fuzzy Sets and Systems, 1994(62): 347-353.
  • 6Cho H H. Fuzzy matrices of permanent one[J]. Fuzzy Sets and Systems, 1993(56): 291-296.
  • 7Han SC, Li H X. On nilpotent incline matrices[J]. Linear Algebra Appl. ,2005,406:201-217.
  • 8Han S C, Li H X. Invertible incline matrices and Cramers rule over inclines[J]. Linear Algebra Appl. ,2004,389:121-138.
  • 9Han S C, Li H X. The semigroup of incline Hall MatricesFJ]. Linear Algebra Appl. ,2004,390:183-196.
  • 10Han S C, Li H X. Indices and periods of incline matricesFJ]. Linear Algebra Appl. , 2004,387:143-165.

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