| 黄金分割法在求解线性方程组中的应用 |
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| 引用本文： | 史文谱,刘迎曦,李翠华,褚京莲.黄金分割法在求解线性方程组中的应用[J].大学数学,2003,19(3):77-81. |
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| 作者姓名： | 史文谱 刘迎曦 李翠华 褚京莲 |
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| 作者单位： | 1. 大连理工大学,工程力学系,辽宁,大连,116023
2. 烟台市高级技工学校,山东,烟台,264001 |
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| 基金项目： | 国家自然科学基金 ( 1 0 0 72 0 1 4)，高校博士点专项基金 ( 2 0 0 0 0 1 70 7) |
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| 摘 要： | 把线性方程组转化成为其等价的变分问题 ,借助黄金分割法的思想对该变分问题进行求解 ,给出的算例结果表明 ,本文方法不仅对良态线性方程组的求解有效 ,而且对于病态线性方程组的求解同样是有效实用的 .
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| 关 键 词： | 线性方程组 变分问题 黄金分割法 良态线性方程组 病态线性方程组 |
| 文章编号： | 1672-1454(2003)03-0077-05 |
| 修稿时间： | 2002年6月26日 |
Application of 0.618 Method in Solving the Linear System of Equations |
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| SHI Wen-pu,LIU Ying-xi,LI Cui-hua,CHU Jing-lian.Application of 0.618 Method in Solving the Linear System of Equations[J].College Mathematics,2003,19(3):77-81. |
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| Authors: | SHI Wen-pu LIU Ying-xi LI Cui-hua CHU Jing-lian |
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| Institution: | SHI Wen-pu1,LIU Ying-xi1,LI Cui-hua2,CHU Jing-lian2 |
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| Abstract: | Transform the original linear system of equations into an optimization problem of its equivalent variational problem. Use the 0.618 optimization method to solve it. The results of the given examples show that the method put forward in this paper is effective not only to the good-conditioned linear system of equations, but also to the ill- conditioned ones. |
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| Keywords: | linear system of equations variational problem 0 618 method good-conditioned linear system of equations ill-conditioned linear system of equations |
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