| 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 | |
