误差限的病态总体最小二乘解算

大地测量和地球物理数据解算中时常会涉及病态问题的处理。基于客观的观测精度,利用设计矩阵与观测向量的误差限制,一方面降低了病态性对求解造成的波动;另一方面避免引入正常数,从而提高整个解算过程的客观性与可靠性。计算表明,本文提出的方法可以有效地处理病态总体最小二乘问题,并且具有较高的稳定性。...

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Bibliographic Details
Published in	测绘学报 Vol. 42; no. 2; pp. 196 - 202
Main Author	葛旭明伍吉仓
Format	Journal Article
Language	Chinese
Published	现代工程测量国家测绘地理信息局重点实验室,上海200092 2013 同济大学测绘与地理信息学院,上海,200092%同济大学测绘与地理信息学院,上海200092
Subjects	总体最小二乘正则化病态性观测精度误差限度观测精度总体最小二乘误差限度病态性正则化
Online Access	Get full text
ISSN	1001-1595

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Summary:	大地测量和地球物理数据解算中时常会涉及病态问题的处理。基于客观的观测精度,利用设计矩阵与观测向量的误差限制,一方面降低了病态性对求解造成的波动;另一方面避免引入正常数,从而提高整个解算过程的客观性与可靠性。计算表明,本文提出的方法可以有效地处理病态总体最小二乘问题,并且具有较高的稳定性。
Bibliography:	GE Xuming1,WU Jicang1,2 1.Institute of Surveying and Geo-informatics,Tongji University,Shanghai 200092,China;2.Key Laboratory of Modern Engineering Surveying,SBSM,Shanghai 200092,China 11-2089/P ill-posed problems; regularization; total least squares; measurement accuracy; error limits Based on the objective measurement accuracy,we attempt to use the residuals of measurements in both design matrix and observation value to replace the positive constant.A few numerical experiments are carried out to demonstrate the performance and efficiency of the new method.
ISSN:	1001-1595