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求解病态线性方程组的一个正则化方法
引用本文:马成业,杨胜良,黎锁平.求解病态线性方程组的一个正则化方法[J].甘肃科学学报,2010,22(4):33-35.
作者姓名:马成业  杨胜良  黎锁平
作者单位:兰州理工大学理学院,甘肃兰州730050
摘    要:利用矩阵的奇异值分解,讨论了病态线性方程组,并给出求解病态方程组的正则化方法,依据偏差原理选取正则化参数,结果表明了该算法的有效性.

关 键 词:病态线性方程组  奇异值分解  正则化方法  偏差原理

A Regularization Method of Ill-Conditioned Linear Equations
MA Cheng-ye,YANG Sheng-liang,LI Suo-ping.A Regularization Method of Ill-Conditioned Linear Equations[J].Journal of Gansu Sciences,2010,22(4):33-35.
Authors:MA Cheng-ye  YANG Sheng-liang  LI Suo-ping
Institution:(School of Sciences ,Lanzhou University of Science and Technology ,Lanzhou 730050,China)
Abstract:Using the singular value decomposition of matrix, the ill-conditioned linear equations are studied, and a regularization method of ill-conditioned linear equations is given. The regularization parameter is determined by the discrepancy principle. The numerical experiments show the method is effective.
Keywords:ill-conditioned linear equations  singular value decomposition  regularization method  discrepancy principle
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