A numerical embedding method was proposed for solving the nonlinear optimization problem. By using the nonsmooth theory, the existence and the continuation of the following path for the corresponding homotopy equation...A numerical embedding method was proposed for solving the nonlinear optimization problem. By using the nonsmooth theory, the existence and the continuation of the following path for the corresponding homotopy equations were proved. Therefore the basic theory for the algorithm of the numerical embedding method for solving the non-linear optimization problem was established. Based on the theoretical results, a numerical embedding algorithm was designed for solving the nonlinear optimization problem, and prove its convergence carefully. Numerical experiments show that the algorithm is effective.展开更多
Presents information on a study which extended the numerical embedding method for solving the smooth equations to the nonlinear complementarity problem. Presentation of the nonlinear complementarity problem; Use of th...Presents information on a study which extended the numerical embedding method for solving the smooth equations to the nonlinear complementarity problem. Presentation of the nonlinear complementarity problem; Use of the beta-differentiable theory; Theorems.展开更多
文摘A numerical embedding method was proposed for solving the nonlinear optimization problem. By using the nonsmooth theory, the existence and the continuation of the following path for the corresponding homotopy equations were proved. Therefore the basic theory for the algorithm of the numerical embedding method for solving the non-linear optimization problem was established. Based on the theoretical results, a numerical embedding algorithm was designed for solving the nonlinear optimization problem, and prove its convergence carefully. Numerical experiments show that the algorithm is effective.
基金The project is supported by the National Natural Science Foundation of China.
文摘Presents information on a study which extended the numerical embedding method for solving the smooth equations to the nonlinear complementarity problem. Presentation of the nonlinear complementarity problem; Use of the beta-differentiable theory; Theorems.
