解无约束最优化问题的超抛物面法  

Super Paraboloid Method for Solving Unconstrained Optimization Problem

作　　者：杨富贵[1] 盛松柏[2] 

机构地区：[1]天津商学院理学院,天津300134 [2]南京航空航天大学理学院,南京210016

出　　处：《天津商学院学报》2006年第6期53-57,共5页Journal of Tianjin University of Commerce

摘　　要：阐述了一种新的解无约束最优化的直接方法———抛物面法,它是在Rn+1中找到不在同一超平面的n+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n+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。We introduce a new direct method--super paraboloid method. If one find n ＋ 2 points which are not on the same superplane in R^n＋1, there exists a super quadratic surface which passes 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：O241[理学—计算数学]