| 约束最小二乘问题的几个算法 |
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| 引用本文： | 朱建青,汤源.约束最小二乘问题的几个算法[J].测绘学院学报,2001(2). |
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| 作者姓名： | 朱建青 汤源 |
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| 作者单位： | 信息工程大学测绘学院!河南郑州450052 |
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| 基金项目： | 国家自然科学基金项目 ( 4 0 0 740 0 6)，河南省自然科学基金项目 ( 9940 60 80 0，0 0 40 5 13 0 0 ) |
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| 摘 要： | 讨论了具有线性等式与不等式最小二乘问题及等式约束带权最小二乘问题 ,运用矩阵Householder正交分解及有效约束集法等技巧 ,分别给出了几个有效实用的算法 ,最后进行了数值检验。
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| 关 键 词： | 算法 线性约束 最小二乘问题 Householder正交分解 |
Several Algorithms for Least-Squares Problems with Constraints |
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| ZHU Jian qing,TANG Yuan.Several Algorithms for Least-Squares Problems with Constraints[J].Journal of Institute of Surveying and Mapping,2001(2). |
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| Authors: | ZHU Jian qing TANG Yuan |
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| Abstract: | In this paper, the algorithms for weight LS with linear constraints, linear equations and inequations, and equation constraints are discussed, respectively. And then several advanced computing methods are proposed by using Householder orthogonal decomposition and effective constraints set. Lastly, an example is computed to show the behavior of the different algorithms. |
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| Keywords: | algorithm linear constraints least squares problem Householder orthogonal decomposition |
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