| 调整右矢量的加速牛顿类迭代法 |
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| 引用本文： | 徐长发,王宁昊,王敏敏.调整右矢量的加速牛顿类迭代法[J].华中科技大学学报(自然科学版),2006,34(4):119-121. |
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| 作者姓名： | 徐长发 王宁昊 王敏敏 |
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| 作者单位： | 1. 华中科技大学,数学系,湖北,武汉,430074;华中科技大学,塑性成形模拟及模具技术国家重点实验室,湖北,武汉,430074
2. 华中科技大学,数学系,湖北,武汉,430074 |
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| 摘 要： | 设计了一个新的牛顿类迭代方法.该迭代法设计了最佳松弛参量并不断调整线性系统的右端矢量,它比牛顿方法的计算量要少,比修正的牛顿方法收敛得快.分析了松弛参量的作用,并给出了最佳参量的计算公式.使用数值例子证明了该方法的优良性质,用衡量指数对比了其他几种迭代法,证明了该方法的优越性.
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| 关 键 词： | 牛顿方法 牛顿类方法 最佳松弛参数 |
| 文章编号： | 1671-4512(2006)04-0119-03 |
| 收稿时间： | 05 21 2005 12:00AM |
| 修稿时间： | 2005年5月21日 |
Study of accelerated Newton-like method with modification of the right-hand-side vector |
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| Xu Changfa,Wang Ninghao,Wang Minmin.Study of accelerated Newton-like method with modification of the right-hand-side vector[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2006,34(4):119-121. |
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| Authors: | Xu Changfa Wang Ninghao Wang Minmin |
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| Abstract: | A Newton-like method was presented to design the optimal relaxation parameter and constantly adjusted the right-hand-side vector of linear system. This method was less computation than that of the Newton method and was faster than the fixed Newton method in convergence. The influence of the relaxation parameter was analyzed and the computation formulae for the optimal parameters were given. The numerical examples were used to prove the advantages of the proposed method. In comparison with other iteration methods by weighing index, the superiority of the proposed method was proved. |
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| Keywords: | Newton method Newton-like method optimal relaxation parameter |
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