摘要
在大地测量中,法方程病态问题大量存在。由于病态性的存在,致使按最小二乘法解算参数估值精度变差甚至发生扭曲,最终使所得结果不能使用。针对这种情况人们提出用有偏估计来解决问题,其中岭估计是最常用到的方法之一。本文提出一种新的有偏估计方法-奇异改进型岭估计,试验表明该方法能够有效克服病态性对平差系统带来的不良影响,是一种值得重视的有偏估计方法。
The ill-conditioned problems are widely being in the Geodesy and because of it accuracy of the parameters obtained by square estimation become worse, sometimes even distorted. As a result, these estimate values may be in vain for use. Consequently, the methods of biased estimate were proposed, among Which,the ridge estimate is used more often than others. The paper come up with a new method of biased estimate-the method of SVD improving ridge estimate（SVDRE）. This method was proved efficient in eliminating the bad effect brought by the ill-condition. So it is a new method that deserved more attention to.
出处
《贵州大学学报（自然科学版）》
2007年第2期125-128,共4页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金项目(40574002)
