| 范德蒙型方程组最小二乘解的快速算法 |
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| 引用本文： | 陆全,李琳,徐仲. 范德蒙型方程组最小二乘解的快速算法[J]. 高等学校计算数学学报, 2009, 31(1) |
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| 作者姓名： | 陆全 李琳 徐仲 |
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| 作者单位： | 西北工业大学应用数学系,西安,710072;西北工业大学应用数学系,西安,710072;空军工程大学应用数学系,西安,710051 |
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| 基金项目： | 陕西省自然科学基金，教育部新世纪优秀人才支持计划资料项目 |
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| 摘 要： | 在用多项式进行曲线拟合等实际问题中,需要求解以范德蒙型矩阵VT为系数阵的线性方程组VTx=b的最小二乘解.
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| 关 键 词： | 最小二乘解 快速算法 方程组 范德蒙矩阵 |
A FAST ALGORITHM FOR THE LEAST SQUARES SOLUTION OF LINEAR EQUATIONS OF VANDERMONDE-TYPE MATRIX |
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| Lu Quan,Li Lin,Xu Zhong. A FAST ALGORITHM FOR THE LEAST SQUARES SOLUTION OF LINEAR EQUATIONS OF VANDERMONDE-TYPE MATRIX[J]. Numerical Mathematics A Journal of Chinese Universities, 2009, 31(1) |
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| Authors: | Lu Quan Li Lin Xu Zhong |
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| Affiliation: | Lu Quan (Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072) Li Lin (Department of Applied Mathematics,Xi'an 710072/ Department of Applied Mathematics,Air Force Engineering University,Xi'an 710051) Xu Zhong (Department of Applied Mathematics,Xi'an 710072) |
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| Abstract: | In this paper,a fast algorithm for the least squares solution of linear equations which coeficient matrices are Vandermonde-type matrix with full column rank is given by constructing a special blocked matrix and utlizing fast triangular factorization of the matrix.In contrast with previous methods,new algorithms reduce operations or improve precision. |
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| Keywords: | Vandermonde-type matrix least squares solution triangular factorization |
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