Algorithm And Application Research Of Least Square Problem

In the optimization theory and algorithm,least squares problems are widely used as important branches of physics,statistics and economic research.Moreover,many practical problems in life are least squares problems,so the study of least squares algorithm and application is very meaningful.With the rapid development and extensive application of the least squares problem,the research of the algorithm becomes more and more important.In recent years,a lot of new algorithms based on least squares have appeared.In the first part of this paper,the algorithm of least squares problem is studied.The algorithms of linear least squares and nonlinear least squares are studied.According to the structural characteristics of objective function and constraint condition,the classification analysis is carried out.To prepare the theoretical basis,but also to make the direction of the next step more clearly.In the second part of the paper,the least squares problem is studied.In this paper,a local least squares PSO algorithm is designed to solve the problem of the typical nonlinear least squares model.Based on the basic model,the paper deletes the redundant ground network model and designs the corresponding deletion redundancy algorithm,which greatly improves the computing efficiency.Then,the simplified model is diagnosed by using the algorithm given in this paper.Finally,the simulation results show that the proposed algorithm can simplify the model and make the diagnosis,and the feasibility of the algorithm is proved.