期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

幂零-雅克比方法在复符号模式中的应用

  • 中北大学 数学系, 山西 太原 030051
  • DOI: 10.13763/j.cnki.jhebnu.nse.2017.01.001

The Application for the Nilpotent-Jacobi Method in Complex Sign Pattern

摘要/Abstract

摘要:

给出了一个新的含有3n个非零元的复符号模式矩阵,运用幂零-雅克比方法研究该复符号模式以及母模式的谱任意性,最后证明了该复符号模式是极小谱任意的.

Abstract:

A new complex sign pattern of matrix order n with 3n nonzero entries is presented.It is show that this complex sign pattern and its superpatterns are spectrally arbitrary by Nilpotent-Jacobi method.It is proved that it's minimal spectrally arbitrary complex sign pattern matrix.

参考文献 8

  • [1] DREW J H,JHHNSON C R,OLESKY D D, et al.Spectrally Arbitrary Patterns[J].Linear Algebra and Its Application,2000,308:121-137.doi:10.1016/s0024-3795(00)00026-4
  • [2] MCDONALD J J,STUART J.Spectrally Arbitrary Ray Patterns[J].Linear Algebra and Its Applications,2008,429:727-734.doi:10.1016/j.laa.2008.03.026
  • [3] GAO Y B,SHAO Y L,FAM Y Z.Spectrally Arbitrary Complex Sign Pattern Matrices[J].Electronic Journal of Linear Algebra,2009,18:674-692.doi:10.13001/1081-3810.1337
  • [4] GAO Y B,SHAO Y L.New Classes of Spectrally Arbitrary Ray Patterns[J].Linear Algebra and Its Applications,2011,434(10):2140-2148.doi:10.1016/j.laa.2010.12.011
  • [5] BERGSMA H,VANDER M K N,van TUYL A.Potentially Nilpotent Patterns and the Nilpotent-Jacobian Method[J].Linear Algebra and Its Applications,2012,436:4433-4445.doi:10.1016/j.laa.2011.05.017
  • [6] GARNETT C,SHADER B L.A Proof of the Tn Conjecture:Centralizers,Jacobians and Spectrally Arbitrary Sign Pattern[J].Linear Algebra Application,2012,436(12):4451-4458.doi:10.1016/j.laa.2011.06.051
  • [7] GARNETT C,SHADER B L.The Nilpotent-centralizer Method for Spectrally Arbitrary Patterns[J].Linear Algebra Application,2013,438(10):3836-3850.doi:10.1016/j.laa.2011.10.004
  • [8] GAO Y B,SHAO Y L.The Nilpotent-centralizer Methods[J].Journal of Mathematical Research with Applications,2014,34(5):597-607.doi:10.3770/j.issn.2095-2651.2014.05.010