摘要
Asignpatternmatrixisamatrixwhoseentriesarefromtheset{+,-,0}.Thesymmetricsignpatternmatricesthatrequireuniqueinertiahaverecentlybeencharacterized.Thepurposeofthispaperistomoregenerallyinvestigatetheinertiasetsofsymmetricsignpatternmatrices.Inparticular,nonnegativefri-diagonalsignpatternsandthesquaresignpatternwithall+entriesareexamined.AnalgorithmisgivenforgeneratingnonnegativerealsymmetricToeplitzmatriceswithzerodiagonalofordersn≥3whichhaveexactlytwonegativeeigenvalues.Theinertiasetofthesquarepatternwithall+off-diagonalentriesandzerodiagonalentriesisthenanalyzed.Thetypesofinertiaswhichcanbeintheinertiasetofanysignpatternarealsoobtainedinthepaper.Specifically,certaincompatibilityandconsecutivenesspropertiesareestablished.
出版日期
2001年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
