| 贾明辉,韩贵春.按回路α-对角占优矩阵的讨论[J].井冈山大学自然版,2018,(1):12-16 |
| 按回路α-对角占优矩阵的讨论 |
| DISCUSSION FOR α-DIAGONALLY DOMINANT MATRICES ACCORDING TO CIRCUIT |
| 投稿时间：2017-09-04 修订日期：2017-11-12 |
| DOI：10.3969/j.issn.1674-8085.2018.01.003 |
| 中文关键词: 按回路α-对角占优矩阵 H-矩阵 弱不可约矩阵 非零元素链 |
| 英文关键词: α-diagonally dominant matrices according to circuit nonsingular H-matrices weakly irreducible matrices chain of nonzero elements |
| 基金项目:内蒙古自治区自然科学基金项目（2016MS0118）；内蒙古民族大学科学研究基金项目（NMDYB1778，NMDYB15089） |
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| 中文摘要: |
| 首先定义了按回路弱不可约α2-对角占优矩阵，给出了按回路弱不可约严格α2-对角占优矩阵的一个等价表征，进而利用矩阵对角占优理论得到了非奇异H-矩阵的若干判定条件，进一步丰富和完善了按回路α-对角占优矩阵与非奇异H-矩阵的理论。 |
| 英文摘要: |
| The concept of weakly irreducible α2-diagonally dominant matrices according to circuit is introduced. Firstly, an equivalent condition for judging weakly irreducible strictly α2-diagonally dominant matrices according to circuit is given. Furthermore, some new practical criteria for nonsingular H-matrices are obtained for the theory of diagonally dominant matrices. The study enriches and perfects the theory of α-diagonally dominant matrices according to circuit and nonsingular H-matrices. |
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