大地测量与地球动力学2012，Vol.32Issue(6)：106-110,5.
解加权总体最小二乘平差问题的一种新方法
AN INNOVATED ALGORITHM FOR SOLUTION OF WEIGHTED TOTAL LEAST SQUARES ADJUSTMENTS
摘要
Abstract
The weighted total least squares problem not only takes into account the errors of coefficient matrix but also consideres that the heteroscedasticity between the observable vector and the coefficient matrix. Seeing that the traditional iteration algorithm for solving the problem is too complicate, this paper considered the errors of observable vector as a function of the errors of coefficient matrix and the parametes. Through the linearization, it became adjustment of observation equations problems, hence the Lagrange multiplier method was used to carry out the iteration functions for this algorithm. And then,two numerical examples were given, and it was shown that the adjustment results with our approach is identify with Schaffrin & Wieser method.关键词
加权总体最小二乘法/平差/间接平差/直线拟合/线性化Key words
weighted Total Least Squares( WTLS) / adjustment/indirect adjustment/line fitting/ linearization分类
天文与地球科学引用本文复制引用
胡川,陈义..解加权总体最小二乘平差问题的一种新方法[J].大地测量与地球动力学,2012,32(6):106-110,5.基金项目
国家自然科学基金(41074017) （41074017）
