|
|||||
|
|
| 非奇异H矩阵迭代式充分条件 | |
| 引用本文： | 刘长太.非奇异H矩阵迭代式充分条件[J].计算数学,2017,39(3):328-336. |
| 作者姓名： | 刘长太 |
| 作者单位： | 1. 扬州工业职业技术学院基础部, 扬州 225127; 2. 贵州民族大学理学院, 贵阳 550025 |
| 基金项目： | 国家自然科学基金项目（11361074）；云南省科技厅应用基础研究基金项目（2013FD002）；贵州省科学技术基金项目（[2015]2073）；贵州民族大学科研基金项目（15XRY004） |
| 摘 要： | 非奇异H矩阵是一类应用非常广泛的特殊矩阵.从矩阵元素出发,给出了一组非奇异H矩阵新的简捷而实用的迭代形式的充分条件.该迭代形式的充分条件推广并改进了相关的结果.最后用数值算例验证了该迭代式条件的优越性. |
| 关 键 词： | 迭代 非奇异H矩阵 不可约 对角占优 非零元素链 |
ITERATIVE SUFFICIENT CONDITIONS FOR NONSINGULAR H-MATRICES |
|
| Liu Changtai.ITERATIVE SUFFICIENT CONDITIONS FOR NONSINGULAR H-MATRICES[J].Mathematica Numerica Sinica,2017,39(3):328-336. | |
| Authors: | Liu Changtai |
| Institution: | 1. Department of Basic, Yangzhou Polytechnic Institute, Yangzhou 225127, China; 2. College of Science, Guizhou Minzu University, Guiyang 550025, China |
| Abstract: | Nonsingular H-matrices are special matrices and have widely important applications. In this paper, several new iterative practical sufficient conditions for nonsingular H-matrices are obtained by comparing the elements of a matrix. These iterative sufficient conditions extend and improve some related results. Advantages of these iterative conditions are illustrated by numerical examples. |
| Keywords: | Iteration Nonsingular H-matrices Irreducibility Diagonal dominance Nonzero elements chain |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《计算数学》浏览原始摘要信息 | |
| 点击此处可从《计算数学》下载免费的PDF全文 | |