摘要
非线性最小二乘参数平差刘国林姜岩陶华学（山东矿业学院，泰安，２７１０１９）ＮＯＮＬＩＮＥＡＲＬＥＡＳＴＳＱＵＡＲＥＳＡＤＪＵＳＴＭＥＮＴＢＹＰＡＲＡＭＥＴＥＲＳＬｉｕＧｕｏｌｉｎ，ＪｉａｎｇＹａｎ，ＴａｏＨｕａｘｕｅ（ＳｈａｎｄｏｎｇＩｎｓｔｉｔｕｔ...
A new computational formula to nonlinear adjustment by parameters, in consideration of the secondorder terms, is derived in this paper from the precise orthogonality condition equations to nonlinear least squares by analyzing the direct solving process and iterative computing method of the linearized model. The decomposition of matrix and the curvature matrix of the nonlinear metric are drawn into the process of formulas derivation and the final computational formulas to adjustment in order to express the formulas succinctly, and to evaluate accuracy and analyze the essence of the nonlinear adjustment conveniently. The final example demonstrate the validity and practice of the method.
出处
《测绘学报》
EI
CSCD
北大核心
1998年第3期224-230,共7页
Acta Geodaetica et Cartographica Sinica
关键词
非线性模型
参数平差
最小二乘
测量误差
Nonlinear model, Nonlinear metric, Adjustment by parameters, Nonlinear least squares
