期刊文献+

坡矩阵的{1}-广义逆和{1,2}-广义逆 被引量:1

On {1}-generalized inverses and {1,2}-generalized inverses of incline matrices
下载PDF
导出
摘要 讨论坡矩阵(坡上的矩阵)的{1}-广义逆和{1,2}-广义逆,给出其存在的若干条件及结构定理,并指出它们与经典矩阵的{1}-广义逆和{1,2}-广义逆的若干差别. The{1}-generalized inverses and{1,2}-generalized inverses of incline matrices(matrices on an incline)were discussed,and some conditions for existences of the{1}-generalized inverses and the{1,2}-generalized inverses and their structure theorems were given.Further,some differences between these incline matrices and classical matrices were shown,also.
作者 张丽梅 赵建立 乔立山 李莹 ZHANG Li-mei;ZHAO Jian-li;QIAO Li—shan;LI Ying(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)
出处 《兰州理工大学学报》 CAS 北大核心 2008年第1期139-142,共4页 Journal of Lanzhou University of Technology
基金 山东省自然科学基金(2004ZX13)
关键词 坡矩阵 {1}-广义逆 {1 2}-广义逆 incline incline matrix {1}-generalized inverse {1,2}-generalized inverse
  • 相关文献

参考文献15

  • 1DUAN J S. The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices [J]. Fuzzy Sets and Systems,2004,145:301-311.
  • 2CAO Z Q,KIM K H,ROUSH F W. Incline algebra and application [M]. New York:John Wiley&Sons, 1984.
  • 3HANS C, LI H X. Invertible incline matrices and Cramer's rule over inclines [J]. Linear Algebra Appl, 2004,389: 121-138.
  • 4HANS C, LI H X. Indices and periods of incline matrices [J]. Linear Algebra Appl, 2004,387 : 143-165.
  • 5HANS C, LI H X. The semigroup of incline Hall matrices [J]. Linear Algebra Appl, 2004,390:183-196.
  • 6HANS C, LI H X,GU Y D. Standard elgenvectors of incline matrices [J]. Linear Algebra Appl, 2004,389: 235-248.
  • 7HAN S C, LI H X,WANG J Y. On nilpotent incline matrices [J]. Linear Algebra Appl, 2005,406 : 201-217.
  • 8HANS C, LI H X. Notes on “pseudo-t-norms and implication operators on a complete Brouwerian Lattice” and “pseudo-t- norms and implication operator: direct products and direct product decompositions” [J]. Fuzzy Sets and Systems, 2005, 153 : 289-294.
  • 9KIM K H. Boolean matrix theory and application [M]. New York: Marcel Dekker, Inc, 1982.
  • 10段俊生.L-Fuzzy正则矩阵与可逆矩阵的秩[J].山东大学学报(理学版),2001,36(3):251-255. 被引量:4

二级参考文献12

  • 1TAN Y J.The semigroups of hall matrices over distributive lattice [J].Semigroup Forum,2000,61:303-314.
  • 2GIVE'ON Y.Lattice matrices [J].Information and Control,1964(7):477-484.
  • 3ZHANG K L.Determinat theory for D01-lattice matrices [J].Fuzzy Sets and Systems,1994,62:347-353.
  • 4王松桂.广义逆知阵及其应用[M].北京:北京工业大学出版社,1996..
  • 5田振际.π-逆子半群格是模格的π-逆半群[J].系统科学与数学,1997,17(3):226-231. 被引量:6
  • 6Gratzer G.General Lattice Theory[]..1978
  • 7Song S. Z.Linear Operators That Preserve Column Rank of Fuzzy Matrices[].Fuzzy Sets and Systems.1994
  • 8Kim K H,Roush F W.Generalized Fuzzy Matrix[].Fuzzy Sets and Systems.1980
  • 9Zhao Cuikui.Inverses of L-Fuzzy Matrices[].Fuzzy Sets and Systems.1990
  • 10Kim K H.Boolean Matrix Theory and Applications[]..1982

共引文献13

同被引文献6

  • 1谷敏强,李洪兴.坡矩阵的广义逆(Ⅰ)[J].北京师范大学学报(自然科学版),2006,42(5):463-466. 被引量:12
  • 2Duan J S.The transitive closure convergence of powers and adjoint of generalized fuzzy matrices[J].Fuzzy Sets and Systems,2004,145:301-311.
  • 3Cao Z Q,Kim K H,Poush F W.Incline algebra and application[M].New York:John Wiley&Sons,1984.
  • 4Jiang E X,Huang T Z,Yang C S.Advances in matrix theory and applications[C].Liverpool:World Academic Press,2006:131-134and 349-352.
  • 5Han S C,Li H X.Invertible incline matrices and Cramer’s rule over inclines[J].Linear Algebra Appl,2004,389:121-138.
  • 6周梅萍.关于坡上矩阵的秩[J].福建农林大学学报(自然科学版),2009,38(1):108-112. 被引量:3

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部