曲线寻优的收敛性和近似解析解法

Convergence and approximate analytical solution of curvilinear search

论述了无约束曲线寻优得到局部最优点的结论，研究了约束曲线寻优的近似解析方法，提出近似可分离规划的对偶求解途径，数值实验表明这是一种具有竞争力的解法。

There are three respects of research works,Firstly,a theorem about getting thelocal optimum point in light of the curvilinear search method is proven,Secondly,anapproximate analytical method of the curvilinear search for constrained problems has beeninvestigated and a dual solving approach by using approximate variables separable programming isproposed whose numerical experiments show its competitive characteristics,Finally,abovementioned methods are applied to the optimum design of truss structures that obtain satisfactoryresults.