dc.contributor.author 汪祥 dc.contributor.author 卢琳璋 dc.date.accessioned 2017-11-14T02:50:57Z dc.date.available 2017-11-14T02:50:57Z dc.date.issued 2003-07-30 dc.identifier.citation 厦门大学学报(自然科学版),2003,(04):27-29 dc.identifier.issn 0438-0479 dc.identifier.other XDZK200304004 dc.identifier.uri https://dspace.xmu.edu.cn/handle/2288/154749 dc.description.abstract Li 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.abstract Li 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.iso zh_CN dc.subject α-对角占优 dc.subject α一双对角占优 dc.subject 回路 dc.subject α-diagonally dominant dc.subject α-double diagonally dominant dc.subject circuit dc.title α-双对角占优矩阵 dc.title.alternative α-Double Diagonally Dominant Matrices dc.type Article
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