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主对角线全为零的置换模式矩阵的惯量

The Inertias of Some Permutation Sign Pattern Matrix with Zero Diagonal Entries
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摘要 文章在给出主对角线全为零的置换矩阵的惯量基础上,利用代数学相应的基本原理和方法并结合组合数学的研究思路进行了充分分析和论证,从而解决了相应置换模式矩阵的惯量问题. There is based on the inertias of some permutation matrix with zero diagonal entries, and utilizes the corresponding algebra fundamental principles and methods, combined with the thoughts of combinatorics. Thereby, the inertias of the corresponding sign pattern are settled in an effective way.
出处 《太原师范学院学报(自然科学版)》 2006年第2期49-51,共3页 Journal of Taiyuan Normal University:Natural Science Edition
基金 中北大学自然科学基金 编号200557 2006年山西省青年科技研究基金 编号:2006021006
关键词 置换矩阵 惯量 符号模式矩阵 permutation matrix inertial sign pattern matrix
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参考文献5

  • 1Shao YanlingDept. of Appl. Math.,Beijing Institute of Tech.,Beijing 100081,China..TWO CLASSES OF SYMMETRIC SIGN PATTERNS THAT REQUIRE UNIQUE INERTIA[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(2):243-250. 被引量:2
  • 2[2]Frank J.Hall,Zhongshan Li,Di Wang.Symmetric sign pattern matrices that require unique inertia[J].Linear Algebra and its Applications,2001,(338):153-169 被引量:1
  • 3[3]Brualdi R A,Shader B L.Matrices of sign-solvable linear system[M].Cambridge University Press,Cambridge.1995 被引量:1
  • 4程云鹏主编..矩阵论 第2版[M],2004:447.
  • 5[5]Horn R A,Johnson C R.Matrix Analysis[M].Cambridge University Press,Cambridge.1985 被引量:1

二级参考文献6

  • 1Drew,J. H. ,Johnson,C. R. ,Olesky,D. D. ,et al. ,Spectrally arbitrary patterns,Linear Algebra Appl. ,2000,308 : 121-137. 被引量:1
  • 2Gao Yubin, Shao Yanling, Inertially arbitrary patterns, Linear and Multilinear Algebra, 2001,49 (2) :161-168. 被引量:1
  • 3Hall,F. J. ,Li Zhongshan,Wang Di ,Symmetric sign pattern matrices that require unique inertia,Linear Algebra Appl. , 2001,338 : 153-169. 被引量:1
  • 4Eschenbach, C. A., Johnson, C. R., Sign patterns that require real, nonreal and pure imaginary eigenvalues ,Linear and Multilinear Algebra, 1991,29 : 299-311. 被引量:1
  • 5Brualdi, R. A. , Shader, B. L. , Matrices of Sign-solvable Linear Systems, Cambridge: Cambridge University Press, 1995. 被引量:1
  • 6Horn, R. A. ,Johnson ,C. R. ,Matrix Analysis ,Cambridge :Cambridge University Press, 1985. 被引量:1

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