Iteration Algorithm of Total Least Squares with Inequality Constraints
Abstract Based on penalty function and weight of adjustment, an inequality constraints EIV (ICEIV) model is presented. The model utilizes penalty function to construct the constraint weight for the constraint equations and transforms the inequality constraint into the equality constraint by the zero or infinite weight. So, it can transform the inequality constraint adjustment criteria into the classical adjustment criteria. Therefore, a new iteration algorithm of total least squares with inequality constraints is deduced by the nonlinear least squares adjustment theory; the method uses a structured matrix to consider the repetitive elements and constant terms.
Key words :
inequality constraints
errors-in-variables model
total least squares
iteration algorithm
penalty function
Cite this article:
WANG Qisheng,YANG Genxin. Iteration Algorithm of Total Least Squares with Inequality Constraints[J]. jgg, 2016, 36(12): 1100-1104.
WANG Qisheng,YANG Genxin. Iteration Algorithm of Total Least Squares with Inequality Constraints[J]. jgg, 2016, 36(12): 1100-1104.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2016/V36/I12/1100
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