A New Direct Search Method Based on Separable Fractional Interpolation Model

被引：0

作者：

QIN NI ^{[1
]}

CUI JIANG ^{[1
]}

HAO LIU ^{[2
]}

机构：

[1] College of Sciences, Nanjing University of Aeronautics and Astronautics

[2] College of Sciences, Nanjing University of Technology

来源：

ActaMathematicaeApplicataeSinica | 2016年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

direct search method; fractional interpolation model; trust region;

D O I：

暂无

中图分类号：

O241.3 [插值法];

学科分类号：

070102 ;

摘要：

In this paper,we propose a new separable fractional interpolation model which can be established by 2n interpolation points where n is the number of variables.Based on this model,a new direct search method is presented.In this method,a new iterate is determined by solving the fractional interpolation model in trust region.Under mild assumptions,the convergence results of this method are given and proved.Numerical experiments show that the new method is promising.

引用

页码：257 / 268

页数：12

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