摘要
最优设计的数值算法是近20年发展起来的最优回归设计理论中的一个新分支。本文在Fedorov,Atwood,Silvey等人工作的基础上,深入地研究了最优回归设计理论中的对称性问题,结合运用最优设计的对偶性理论,提出了D-最优设计的一个新数值算法——对称对偶算法,并运用此算法解决了高价对数项混料模型的D-最优设计问题。
The numerical algorithm for D-optimal design, as a new branch in optimal regression design theory,was developped in the recent 20 years.On the basis of the previous works by Fedorov, Atwood and Silvey, the authors studied the symmetric problems in optimal regression design theory and further propose the symmetric-dual algorithm as a new numerical algorithm combining the dual theory in optimal design. By this new algorithm,the D-optimal design of high-order mixture model including logarithm terms has been solved.
基金
冶金工业部科学基金
关键词
D-最优设计
对称性
对偶性
算法
D-optimal design, symmetric algorithm, dual algorithm,high-order mixture model including logarithm terms.
