| 摘要: |
| 讨论对角占优矩阵与H-阵和M-阵之间的关系,得出对角占优矩阵是H-阵(或M-阵)的充分必要条件,并给出H-阵(或M-阵)的判定算法. |
| 关键词: 对角占优矩阵 对角均势矩阵 对角均势主子阵 H-阵 M-阵 判定算法 |
| DOI： |
| 投稿时间：2004-12-12 |
| 基金项目:云南省教育厅科研基金(03Z169A)和云南大学理科校级科研基金(2003Z013B)资助项目。 |
|
| Diagonally Dominant Matrices and the Determining of H-matrices and M-matrices |
|
Zhang Chengyi, Li Yaotang
|
| (Department of Mathematics, Yunnan University, Kunming, Yunnan, 650091, China) |
| Abstract: |
| The relationship between diagonally dominant matrices and H-matrices (or M-matrices) is studied,and several sufficient and necessary conditions of diagonally dominant matrices being H-matrices (or M-matrices) is presented.Furthermore,the determining algorithm of H-matrices (or M-matrices) is presented. |
| Key words: diagonally dominant matrix diagonally equipotent matrix diagonally equipotent principal submatrix H-matrix M-matrix determining algorithm |
