上海大学学报(英文版)
上海大學學報(英文版)
상해대학학보(영문판)
JOURNAL OF SHANGHAL UNIVERSITY
2003年
4期
327-339
,共13页
田保锋%戴云仙%孟泽红%张建军
田保鋒%戴雲仙%孟澤紅%張建軍
전보봉%대운선%맹택홍%장건군
B-differentiable equations%nonlinear optimization problem%numerical embedding method
A numerical embedding method was proposed for solving the nonlinear optimization problem. By using the nonsmooth theo-ry, the existence and the continuation of the following path for the corresponding homotopy equations were proved. Therefore the ba-sic theory for the algorithm of the numerical embedding method for solving the non-linear optimization problem was established. Basedon the theoretical results, a numerical embedding algorithm was designed for solving the nonlinear optimization problem, and prove itsconvergence carefully. Numerical experiments show that the algorithm is effective.