王振杰, 欧吉坤, 柳林涛. 一种解算病态问题的方法——两步解法[J]. 武汉大学学报 ( 信息科学版), 2005, 30(9): 821-824.
引用本文: 王振杰, 欧吉坤, 柳林涛. 一种解算病态问题的方法——两步解法[J]. 武汉大学学报 ( 信息科学版), 2005, 30(9): 821-824.
WANG Zhenjie, OU Jikun, LIU Lintao. A Method for Resolving Ill-conditioned Problems——Two-Step Solution[J]. Geomatics and Information Science of Wuhan University, 2005, 30(9): 821-824.
Citation: WANG Zhenjie, OU Jikun, LIU Lintao. A Method for Resolving Ill-conditioned Problems——Two-Step Solution[J]. Geomatics and Information Science of Wuhan University, 2005, 30(9): 821-824.

一种解算病态问题的方法——两步解法

A Method for Resolving Ill-conditioned Problems——Two-Step Solution

  • 摘要: 提出了一种解算病态问题的方法———两步解法。在两步计算中,均采用L曲线法来确定正则化参数α。通过算例,比较了该方法和LS估计、岭估计及截断奇异值方法的效果。结果表明,该方法要明显优于LS估计、岭估计及截断奇异值法。

     

    Abstract: In this paper, a resolution methods of ill-posed problems based on the Tikhonov regularization theory is studied, and a method of two-step solution is proposed. The purpose of two-step solution is to choose a more appropriate regularizer than that of the ridge estimation. This paper utilizes L-curve method to determine the regularization parameter in the (above) two computation steps.

     

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