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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.
【关键词】 两步解法;
正则化参数;
L曲线法;
岭估计;
【Key words】 two-step solution; regularization parameter; L-curve method; ridge estimation;
【Key words】 two-step solution; regularization parameter; L-curve method; ridge estimation;
【基金】 国家自然科学基金资助项目(40474009);中国科学院百人计划资助项目。
- 【文献出处】 武汉大学学报(信息科学版) ,Editorial Board of Geomatics and Information Science of Wuhan University , 编辑部邮箱 ,2005年09期
- 【分类号】P207.2
- 【被引频次】54
- 【下载频次】763