Regularized Newton Iterative Algorithm for Poisson Model of Soft Clay Embankment Settlement

According to general Newton iterative method for solving Poisson model parameters of soft clay embankment settlement would failure because the iterative matrix is ill-conditioned or close to singular,based on regularization theory,by adding a regular factor to iterative matrix,a regularized Newton iterative method was proposed for solving Poisson model parameters.The iterative formula was also given.Based on condition number calculation formula and absolute value triangle inequality principle,according to the properties of the iterative matrix,a regular factor which can make the iterative matrix's condition number less than a given value was proved.Calculation formula of regular factor in iterative procedure was also derived.Settlement data of six section subgrade in Shaoyang-Huaihua expressway were analysis using Poisson prediction model.The study show that the regularized Newton iterative method not only can get the residual sum of squares value small than general three-segment method and make the iterative process convergence,but also the predicted settlement accorded with measured values better.