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分配伪格上矩阵积和式的不等式 被引量:1

The Inequations of Permanents of Matrices Over Distributive Pseudo-lattics
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摘要 在分配伪格上研究矩阵的积和式问题,得到关于矩阵积和式的若干不等式.其结果推广了已有文献上的结论. This paper,specially discusses and reserches the problem of permanents of matrices in distributive pseudo-lattice,then gets some inequations of permanents of matrices. Thus we obtain the results and extend the conclusions of references.
作者 张国勇
出处 《数学的实践与认识》 CSCD 北大核心 2010年第20期193-198,共6页 Mathematics in Practice and Theory
基金 福建省自然科学基金(2008J0186)
关键词 分配伪格 矩阵 积和式 不等式 distributive pseudo-lattic matrix permanent inequation
  • 相关文献

参考文献8

  • 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.
  • 7张国勇.分配伪格上积和式Per(A)=1的矩阵[J].福建师范大学学报(自然科学版),2009,25(1):16-18. 被引量:2
  • 8张国勇.分配伪格上的可逆矩阵(英文)[J].工程数学学报,2009,26(5):797-805. 被引量:4

二级参考文献12

  • 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.
  • 5Zhang G Y. Invertible matrices over distributive pseudolattiees [J]. World Academic Union, 2006 (19): 242--245.
  • 6Luce R D. A note on Boolean matrix theory[J]. Proc Amer Math Soc, 1952, 3(3): 382-388.
  • 7Zhao Y. Inverse of L-fuzzy matrices[J]. Fuzzy Sets and Systems, 1990, 34(1): 103-117.
  • 8Give'on Y. Lattice matrices[J]. Information and Control, 1964, 7:477-484.
  • 9Zhao C K. Inverses of L-fuzzy matrices[J]. Fuzzy Sets and Systems, 1990, 34:103-116.
  • 10Zhao C K. Invertible conditions for a matrix over distributive lattice[J]. Acta Sci Natur Univ Neimonggol, 1991, 22(4): 477-480.

共引文献4

同被引文献6

  • 1Han SC, Li H X. On nilpotent incline matrices[J]. Linear Algebra Appl. ,2005,406:201-217.
  • 2Han S C, Li H X. Invertible incline matrices and Cramers rule over inclines[J]. Linear Algebra Appl. ,2004,389:121-138.
  • 3Han S C, Li H X. The semigroup of incline Hall MatricesFJ]. Linear Algebra Appl. ,2004,390:183-196.
  • 4Han S C, Li H X. Indices and periods of incline matricesFJ]. Linear Algebra Appl. , 2004,387:143-165.
  • 5Zhang K L. Determinant theory for D01-1attiee matricesJ. Fuzzy Sets and Systems, 1994,62.-347-353.
  • 6张国勇.分配伪格上积和式Per(A)=1的矩阵[J].福建师范大学学报(自然科学版),2009,25(1):16-18. 被引量:2

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