解无约束最优化的超抛物面法  

Super Method for Solving Unconstrained Optimization Problem

作　　者：杨富贵[1] 盛松柏[2] 

机构地区：[1]天津商业大学理学院,天津300134 [2]南京航空航天大学理学院,江苏南京210016

出　　处：《河北工业大学学报》2010年第2期78-82,共5页Journal of Hebei University of Technology

摘　　要：介绍了一种新的解无约束最优化的直接方法—抛物面法,它是在+1中找到不在同一超平面的+2个点,通过这些点确定一个超抛物面,以抛物面的顶点替换+2个顶点中函数值最大的点.重复上述步骤,以期达到更好的点.数值试验表明,尽管收敛速度不理想,但算法还是可行的.In this paper,we introduce a new direct method—super paraboloid method.If one find ＋2 points which are not on the same superplane in ＋1,there exists a super quadratic surface which pass through those points.The symmetric centre of the surface will approximate the optimization solution,and this is the base of the new iterate method.Numerical testing shows that our method is successful,although the convergence rate is not fast.

关 键 词：最优化 无约束 抛物面 

分 类 号：O224[理学—运筹学与控制论]