简介:ThispapercontinuestheworkofD.MacHale,D.Flannery(Proc.R.Ir.Acad.81A,209—215;83A,189—196)andtheauthor(Proc.R.Ir.Acad,90A,57—62;J.SouthwestChinaNormalUniversity15,No.1,21.—28)onthetopicon“FinitegroupswithgivenAutomorphismgroup”.Thefollowingresultisproved:LetGbeafinitegroupwithAutGaSchmidtgroup.ThenGisisomorphictoS3orKlain4-group.,orDsuchthatAutD=InnD.DisaSchmidtgroupoforder2?p.S2(∈Syl2D)isanormalandspecialgroupexoeptasupersperspecialgroupwithoutcommutativegenerators.
简介:本文介绍了SCHMIDT撒盐一能、构造及原理;导出了撒布速度,撒布官度和撒布宽度的计算公式;分析了影响密度的各种因素。
简介:利用对称内积的Schmidt正交化方法证明了各阶主子式不为零对称阵的LDLT分解.引入两个向量组关于弱内积广义正交的概念,并构造了将两组含相同个数向量的线性无关组化为广义正交组的广义Schmidt正交化方法.最后应用这一方法证明了各阶主子式不为零矩阵的LDU分解及一些相关的结果.
简介:基于Schmidt正交化过程获得了一种计算逆矩阵的新方法.对于可逆矩阵A,有Q=MA,其中Q是酉矩阵,M是下三角矩阵.本文直接从Schmidt规范正交化出发,获得下三角矩阵M的计算公式,从而求得逆矩阵A-1=QHM=AHMTM.
简介:Thebehavioroftwocollinearanti-planeshearcracksinapiezoelectriclayerbondedtotwohalfspacesisinvestigatedbytheSchmidtmethod.Thecracksareverticallytotheimerfacesofthepiezoelectriclayer.ByusingtheFouriertransform,theproblemcanbesolvedwithtwopairsoftripleintegralequations.TheseequationsaresolvedusingtheSchmidtmethod.Thisprocessisquitedifferentfromthatadoptedpreviously.Numericalexamplesareprovidedtoshowtheeffectofthegeometryoftheinteractingcracksandthepiezoelectricconstantsofthematerialuponthestressintensityfactorofthecracks.