期刊文献+

Ray可解方程组的有向图

On the Digraphs of Square Ray Solvable Linear Systems
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摘要 在给出了系数矩阵为方阵,复线性方程组为ray可解以及非负ray可解的图论特征刻画的基础上,进一步讨论了具有这些特征刻画性质的带ray有向图及其基础有向图,得到了W+-ray可解、W-ray可解带ray有向图及其基础有向图的特征刻画. Based on the study of the graph theoretical characterizations of the square ray solvable and nonnegative ray solvable complex linear systems, an analysis is made in this paper of these rayed digraphs and their underlying digraphs, and then some characterizations for W^+ - ray solvable and W - ray solvable digraphs are obtained.
作者 李琳
出处 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2006年第7期973-977,共5页 Journal of Tongji University:Natural Science
关键词 矩阵 符号 复模式矩阵 可解方程组 有向图 matrix sign ray matrix ray solvable complex linear system graph
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参考文献6

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二级参考文献6

  • 1Brualdi R A,Shader B.Matrices of sign-solvable linear systems[M].Cabridge:Camridge University Press,1995.
  • 2Eschenbach C A,Hall F J,Li Z.From real to complex sign pattern matrices[J].Bulletin of Australian Math Soc,1998,(57):159-172.
  • 3Lee G Y,McDonald J J,Shader B L,et al.Extremal properties of ray-nonsingular matrices[J].Discrete Math,2000,(216):221-233.
  • 4McDonald J J,Olesky D D,Tsatsomeros M J,et al.Ray patterns of matrices and nonsingularity[J].Linear Alg Appl,1997,(267):359-373.
  • 5SHAO Jia-yu,SHAN Hai-ying.Ray solvable linear systems and ray S2NS matrices[J].Linear Algebra and Its Applications,2005,(395):229-246.
  • 6SHAO Jia-yu.On the digraphs of sign solvable linear systems[J].Linear Algebra and Its Applications,2000,(313):115-126.

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