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dc.contributor.author汪祥
dc.contributor.author卢琳璋
dc.date.accessioned2017-11-14T02:50:57Z
dc.date.available2017-11-14T02:50:57Z
dc.date.issued2003-07-30
dc.identifier.citation厦门大学学报(自然科学版),2003,(04):27-29
dc.identifier.issn0438-0479
dc.identifier.otherXDZK200304004
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154749
dc.description.abstractLi Bishan和Tsatsomeros定义了双对角占优矩阵,并且给出了不可约双对角占优矩阵是奇异的及不是H-阵的充分必要条件。本文利用矩阵的有向图的方法研究了α-双对角占优矩阵的性质,并给出了A为奇异的及A不是H-阵的充分必要条件,推广了其主要结果。
dc.description.abstractLi Bishan and Tsatsomeros gave the definition of doubly diagonally dominant matrix and presented some necessary and sufficient conditions for an irreducible doubly diagonally dominant matrix to be a sigular matrix or not to be an H-matrix. In this paper,we present some necessary and sufficient conditions in terms of the directed graph for an irreducible a-doubly diagonally dominant matrix to be a singular matrix or not to be an H-matrix,and generalize the related results of Li and Tsatsomeros'.
dc.description.sponsorship国家自然科学基金(10271099)
dc.language.isozh_CN
dc.subjectα-对角占优
dc.subjectα一双对角占优
dc.subject回路
dc.subjectα-diagonally dominant
dc.subjectα-double diagonally dominant
dc.subjectcircuit
dc.titleα-双对角占优矩阵
dc.title.alternativeα-Double Diagonally Dominant Matrices
dc.typeArticle


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