| 一类线性互补问题的区间解法 |
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| 引用本文： | 王忠英,冯艳青,王征宇. 一类线性互补问题的区间解法[J]. 苏州科技学院学报(自然科学版), 2006, 23(4): 11-15 |
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| 作者姓名： | 王忠英 冯艳青 王征宇 |
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| 作者单位： | 1. 常州工学院,理学院,江苏,常州,213002
2. 南京大学,数学系,江苏,南京,210093 |
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| 摘 要： | 在L(x,A,X)算子的基础上,利用对称区间迭代算子,结合max-算子运算下一类线性互补问题的投影映射不动点原理及迭代初始区间的选择方法,对线性互补问题即Lcp(M,q)中M是具有正对角元的H-矩阵的一类问题提出了一新的算法,并以数值例子说明了该算法的有效性。
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| 关 键 词： | 线性互补问题 区间迭代法 区间算子 H-矩阵 |
| 文章编号： | 1672-0687(2006)04-0011-05 |
| 收稿时间： | 2006-09-12 |
| 修稿时间： | 2006-09-12 |
An Interval Method for a Class of Linear Complementary Problems |
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| WANG Zhong-ying,FENG Yan-qing,WANG Zheng-yu. An Interval Method for a Class of Linear Complementary Problems[J]. Journal of University of Science and Technology of Suzhou, 2006, 23(4): 11-15 |
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| Authors: | WANG Zhong-ying FENG Yan-qing WANG Zheng-yu |
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| Affiliation: | 1.School of Science,Changzhou Institute of Technology,Changzhou 213002,China; 2.Dept. of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | On the basis of L(x,A,X) operator,the authors propose a new interval method for a class of linear complementary problems with positive diagonal H-matrix by using symmetric operator iteration integrated with the fixed point theory of projection mapping for a class of linear complementary problems and the selection method of the iteration starting interval.The quoted examples of numerical results show the effectiveness of this method. |
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| Keywords: | linear complementary problems interval iteration interval operator H-matrix |
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