| 非奇异H-矩阵判定的迭代准则 |
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| 引用本文： | 王峰. 非奇异H-矩阵判定的迭代准则[J]. 安徽大学学报(自然科学版), 2012, 0(6): 16-20 |
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| 作者姓名： | 王峰 |
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| 作者单位： | 菏泽学院数学系;云南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(10961027,71161020);山东省统计局重点课题基金资助项目(KT11048) |
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| 摘 要： | 非奇异H-矩阵是在计算数学、矩阵理论、经济数学等许多领域中有着广泛应用的重要矩阵类,但在实用中要判别非奇异H-矩阵是十分困难的.研究了非奇异H-矩阵的判定问题,给出了几个新迭代准则,推广了相关文献的主要结果,并给出相应数值例子说明论文结果的有效性.
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| 关 键 词： | 非奇异H-矩阵 对角占优性 不可约 非零元素链 |
New iterative codes for nonsingular H-matrices |
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| WANG Feng. New iterative codes for nonsingular H-matrices[J]. Journal of Anhui University(Natural Sciences), 2012, 0(6): 16-20 |
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| Authors: | WANG Feng |
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| Affiliation: | WANG Feng1,2(1.Department of Mathematics,Heze University,Heze 274015,China; 2.School of Mathematics and Statistics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Nonsingular H-matrices play a very important role in numerical analysis,matrix theory,mathematical economics,etc.But it is difficult to determine a nonsingular H-matrix in practice.In this paper,we gave several new sufficient conditions for nonsingular H-matrices,improved and generalized some relate results.Advantage of the results obtained was illustrated by some numerical examples. |
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| Keywords: | nonsingular H-matrices diagonally dominant irreducible nonzero elements chain |
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