简介：ByusingthegeneralizedPoincaréindextheoremitisprovedthatifthen^2criticalpointsofann-polynomialsystemformaconfigurationoftype(2n-1)-(2n-3)+(2n-5)-…+(-1)^n-1,andthe2n-1outmostanti-saddlesformtheverticesofaconvex(2n-1)-polygon,thenamongthese2n-1anti-saddlesatleastonemustbeanode.

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简介：1TheprincipalconclusionTh1:Foreveryanti-symmetrictridiagonaln×nmatrixAwiththeoff-diagonalele-ments±βi（i=1,2,…n-1）,thereisanorthogonalmatrixLsuchthatLATALT=（?）（CandDisallsymmetrictridiagonalmatrix）.Andtheelementscij,dijandlijofmatrixC,DandLaredeterminedbythefollowngmeth-

简介：我们定义m复杂物是矩阵Kn

简介：Inthispaper,wedemonstratethatthedouble-shiftQLalgorithmforanirreducibleanti-symmetriciridiagonalmatrixwiththeshiftsbeingtwoeigenvaluesofthe2×2matrixintheleftuppercornerofthismatrixisconvergentandtheconvergenceraleofMskindofalgorithmisgenerallycubic.

简介：我们与nonmonotone不安为微分包括处理抗周期性病药问题。在我们的学习的主要工具是有抗周期性病药条件和最大的单调mappings的pseudomonotone不安的理论的衍生物操作员的最大的单调性质。我们然后与nonmonotone断绝把我们的结果用于进化hemivariational不平等和寓言的方程，它概括并且延长以前已知的定理。

简介：Inthispaper,wedescribehowtoconstructarealanti-symmetric(2p-1)-bandmatrixwithprescribedeigenvaluesinitsρleadingprincipalsubmatrices.Thisisdoneintwosteps.First,ananti-symmetricmatrixBisconstructedwiththespecifiedspectraldatabutnotnecessaryabandmatrix.ThenBistransformedbyHouseholdertransformationstoa(2ρ-1)-bandmatrixwiththeprescribedeigenvalues.Analgorithmispresented.Numericalresultsarepresentedtodemonstratethattheproposedmethodiseffective.

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简介：Asacontinuationof[1],theauthorstudiesthelimitcyclebifurcationaroundthefocusS1otherthanO(0,0)forthesystem(1)asδvaries.Aconjectureonthenon-existenceoflimitcyclesaroundS1,andanotheroneonthenon-coexistenceoflimitcycleswoundbothOandS1aregiven,togetherwithsomenumericalexamples.

简介：Uponusingthedenotativetheoremofanti-HermitiangeneralizedHamiltonianmatrices,wesolveeffectivelytheleast-squaresproblemmin‖AX-B‖overanti-HermitiangeneralizedHamiltonianmatrices.WederivesomenecessaryandsufficientconditionsforsolvabilityoftheproblemandanexpressionforgeneralsolutionofthematrixequationAX=B.Inaddition,wealsoobtaintheexpressionforthesolutionofarelevantoptimalapproximateproblem.

简介：Forthequadraticsystem:x=-y+δx+lx^2+ny^21y=x(1+ax-y)undercondtions-1<1<0,n+l-1>0theauthordrawsinthe(a,b)parameterplanetheglobalbifurcationdiagramoftrajectoriesaroundO(0,0).Noticethatwhenna^2+1<0thesystemhasonesaddleN(0,1/n)andthreeantisaddles.