| 双对角占优与非奇M—矩阵的判定 |
| |
| 引用本文： | 安国斌,郭唏娟. 双对角占优与非奇M—矩阵的判定[J]. 燕山大学学报, 2001, 25(2): 107-109 |
| |
| 作者姓名： | 安国斌 郭唏娟 |
| |
| 作者单位： | 1. 华北煤炭医学院基础部,
2. 燕山大学信息科学与工程学院, |
| |
| 摘 要： | 利用矩阵B＝A＋B^T的双对角占优性给出了矩阵A为非奇M矩阵的新判定准则。推广了已有的判定定理。实例说明，采用本文定理可以较为容易地得出判定结果。本文给出的判定准则具有简单、方便的特点，与已有的判定准则相比，具有更为的适用范围。
|
| 关 键 词： | 非奇M矩阵 对角占优 双对角占优 判定 |
| 修稿时间： | 2000-04-17 |
Double Diangonally Dominant And The Determining Criterions for Non-Singular M-Matrices |
| |
| An Guobin,Guo Xijuan. Double Diangonally Dominant And The Determining Criterions for Non-Singular M-Matrices[J]. Journal of Yanshan University, 2001, 25(2): 107-109 |
| |
| Authors: | An Guobin Guo Xijuan |
| |
| Abstract: | In this paper, some new judging criterions for M-matrices have been presented by using the double diagonally dominant matrix and generalized the concluded results in [1]~[8].As the examples illustrated, the judging results can be easily obtained by using the theorems presented in this paper. Corresponding to others concluded judging results,the determinate criterions are of more convenient characteristics,and more widely application areas. |
| |
| Keywords: | non-singular M-matrix diagonally dominant double diagonally dominant. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
