| 最小二乘估计中法方程的迭代解法 |
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| 引用本文： | 王新洲,刘丁酉. 最小二乘估计中法方程的迭代解法[J]. 湖北民族学院学报(自然科学版), 2002, 20(3): 1-4 |
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| 作者姓名： | 王新洲 刘丁酉 |
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| 作者单位： | [1]武汉大学测绘科学与技术学院，湖北武汉430079 [2]武汉大学数学与统计学院，湖北武汉430072 |
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| 基金项目： | 国家高新技术发展计划(863计划 )资助项目(2 0 0 1AA13 5 0 81) |
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| 摘 要： | 从求解严重病态线性代数方程组的实际出发，提出了一种求解最小二乘估计中法方程的迭代方法－谱修正迭代法，该迭代公式不仅直观、简单，而且适用于良态，病态和奇异系数阵的各种情况，最后通过实例验证了上述结论。
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| 关 键 词： | 最小二乘估计 法方程 迭代解法 病态线性代数方程组 谱修正迭代法 数值代数 |
| 文章编号： | 1008-8423(2002)03-0001-04 |
| 修稿时间： | 2002-03-17 |
Iteration Method by Correcting Characteristic Value for Ill-Conditioned Equations in the Least Square Estimations |
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| WANG Xin-zhou ,LIU Ding-you. Iteration Method by Correcting Characteristic Value for Ill-Conditioned Equations in the Least Square Estimations[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2002, 20(3): 1-4 |
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| Authors: | WANG Xin-zhou LIU Ding-you |
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| Affiliation: | WANG Xin-zhou 1,LIU Ding-you 2 |
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| Abstract: | This paper presents a new iteration for solving ill-conditioned linear equations in the least square estimations- the iteration solving by correcting characteristic value. The iteration is not only simple, but also suits for the several solutions such as the common equations, ill-conditioned equations and rank-defect equations. The above result is checked by example. |
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| Keywords: | ill-conditioned equations the iteration method by correcting characteristic value numerical algebra |
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