一种改进的病态问题奇异值修正法  

An Improved Singular Value Modification Method for Ill-posed Problems

作　　者：曾小牛 刘代志[1] 李夕海[1] 苏娟[1] 陈鼎新 齐玮 

机构地区：[1]第二炮兵工程大学初级指挥学院,陕西西安710025

出　　处：《武汉大学学报（信息科学版）》2015年第10期1349-1353,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41171351;61302195)~~

摘　　要：基于Gaussian滤波函数和Tikhonov滤波函数的联系,选择Gaussian滤波函数作为正则化矩阵,提出了一种改进的病态问题奇异值修正法——Tikhonov-Gaussian法。通过球体重力模型数据的向下延拓仿真实验,验证了改进的奇异值修正法优于标准的Tikhonov修正法。Based on the relationship between the Gaussian and Tikhonov filter functions,we choose the Gaussian filter function as the regularization matrix,and propose an improved singular values modification method for ill-posed problem,we term it the Tikhonov-Gaussian method.Simulation results from the downward continuation of the model gravity data show that the improved singular values modification method has significant quality advantages in comparison to the standard Tikhonov method.

关 键 词：不适定问题 高斯函数 向下延拓 正则化参数 L曲线 

分 类 号：P207.2[天文地球—测绘科学与技术] P223.0