符号模式矩阵的谱任意性研究.pdf

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6、ÎÒªÚEÎÒª´Ì?¿"1ÙVãÎÒªÝïÄ{¤§0Ä£§'(Ø9©Ì(Ø"1Ùy²n≥8ÎÒª´4Ì?¿ÎÒª§§?¿1ªÑ´Ì?¿ÎÒª"1nÙò"-ä'{*ÐEÎÒª¥§?ØEÎÒª´4Ì?¿ÎÒª§§?¿1ªÑ´Ì?¿ÎÒª"'cµÎÒª§EÎÒª§%¹"§Ì?¿ª1I¥ÆÆØ©ABSTRACTThesignpatternmatrixisaveryactiveresearchdirectioninthedomainofcombi-natorialmathematicsin

7、recentyears,ithasimportantapplicationinmanysubjectssuchaseconomics!biology!chemistry!sociology!computerscienceandsoon.Inthispaper,wemainlyusetheNilpotent-Jacobianmethodtoprovethatasignpatternmatrixandacomplexsignpatternmatrixarespectrallyarbitrary.Inchapter1,weintroducethe

8、historyofdevelopmentonthesignpatternmatrices,somemethodsusedinourpaperandourresearchproblemsandmainresults.Inchapter2,weproveasignpatternmatrixofordern≥8isaminimallyspectrallyarbitrarysignpattern,andeverysuperpatternofitisaspectrallyarbitrarysignpattern.Inchapter3,weextend

9、theNilpotent-Jacobianmethodtoproveacomplexsignpatternmatrixisaspectrallyarbitrarysignpatt