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解线性最小二乘问题的正交化方法及应用
引用本文:曹蓉.解线性最小二乘问题的正交化方法及应用[J].太原师范学院学报(自然科学版),2008,7(1):35-38.
作者姓名:曹蓉
作者单位:汕头职业技术学院,广东,汕头,515041
摘    要:文章讲述在求解线性最小二乘问题时系数矩阵出现病态时,应用Househo lder变换把系数矩阵正交三角化,从而求出最小二乘解,以及在实际中的应用.

关 键 词:最小二乘问题  正交化方法  奇异矩阵

The Orthogonal Method of Linear Least Square Problem and It's Applications
Cao Rong.The Orthogonal Method of Linear Least Square Problem and It's Applications[J].Journal of Taiyuan Normal University:Natural Science Edition,2008,7(1):35-38.
Authors:Cao Rong
Institution:Cao Rong(Shantou Polytechnic,Shantou 515041,China)
Abstract:The coefficient matrix is ill-conditioned when solving linear least squares problem,we apply Householder transformations so that the coefficient matrix is a orthogonal triangular,then solve the least squares problem.It is of a wide range of practical values.
Keywords:least squares problem  contradictory equations  orthogonalizing method  singular matrix
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