| 用遗传算法求解病态线性方程组 |
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| 引用本文： | 黄松奇,黄守佳.用遗传算法求解病态线性方程组[J].数学的实践与认识,2003,33(8):97-100. |
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| 作者姓名： | 黄松奇 黄守佳 |
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| 作者单位： | 1. 郑州轻工业学院信息与计算科学系,郑州,450002;清华大学数学科学系,北京,100084
2. 郑州轻工业学院信息与计算科学系,郑州,450002 |
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| 摘 要： | 众所周知 ,病态方程组的条件数较大 ,当输入数据有微小扰动或计算过程中的舍入误差都可能引起输出数据的很大扰动 ,使得解严重失真 ,因此求解此类方程组是相当困难的 .本文尝试使用遗传算法来求解病态线性方程组 ,得到了较好的结果 ,并与传统的求解方法作了简单的比较
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| 关 键 词： | 病态方程组 遗传算法 |
| 修稿时间： | 2003年3月8日 |
Genetic Algorithm for Solving Ill-conditioned Linear Systems |
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| HUANG Song-qi ,\ HUANG Shou-jia.Genetic Algorithm for Solving Ill-conditioned Linear Systems[J].Mathematics in Practice and Theory,2003,33(8):97-100. |
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| Authors: | HUANG Song-qi \ HUANG Shou-jia |
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| Institution: | HUANG Song-qi 1,2,\ HUANG Shou-jia 1 |
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| Abstract: | As known, using traditional methods to solve ill-conditioned linear systems is very difficult,because the condition number of these systems is so large that the little error of input data may be causing the large error of output data. In this article we try to use Genetic Al gorithm (GA)to solve these systems. By comparing with the traditional methods, we have a good solution. |
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| Keywords: | ill-conditioned linear systems genetic algorithm |
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