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dc.contributor.author汪祥
dc.contributor.author卢琳璋
dc.date.accessioned2017-11-14T02:51:06Z
dc.date.available2017-11-14T02:51:06Z
dc.date.issued2003-09-30
dc.identifier.citation厦门大学学报(自然科学版),2003,(05):31-33
dc.identifier.issn0438-0479
dc.identifier.otherXDZK200305008
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154824
dc.description.abstract设A=(aij)∈Cn×n,若 α∈[0,1],使对 i≠j(i,j∈N)均有|aiiajj|≥(Λi,Λj)α(SiSj)1-α,则称A为α 双对角占优矩阵.本文利用矩阵回路给出了A为H阵的新的判定准则,即A=(aij)∈Cn×n,若对任意i∈N和v∈S(A)有:ΠΛi)α(ΠSi)1-α,α∈[0,1],则A为H阵,改进和推广了已有的结果.|aii|>(Πi∈νi∈νi∈ν
dc.description.abstractLet A=(aij)∈Cn×n.If these exists α∈for all i≠j(i,j∈N),we have |aiiajj|≥(ΛiΛj)α(SiSj)1-α,and then A is an αdoubly diagonally dominant matrix. In this paper,we obtain a new criterion for Hmatrices in terms of matrix circuit,i.e. if for any i∈N and v∈S(A),we have ∏i∈υ|aii|>(∏i∈υΛi)α(∏i∈υSi)1-α,α∈,and then A is an Hmatrix, improving and generalizing the related results. 
dc.description.sponsorship国家自然科学基金(10271099)资助
dc.language.isozh_CN
dc.subject回路
dc.subjectα-对角占优
dc.subjectα-双对角占优
dc.subjectH矩阵
dc.subjectcircuit
dc.subjectα-diagonally dominant
dc.subjectα-doublly diagonally dominant
dc.subjectNon-singular H-matrix
dc.titleα-双对角占优与H矩阵的判定
dc.title.alternativeα-Doublly Diagonally Dominant and the Criterions for H-Matrices
dc.typeArticle


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