On a conjecture in D-optimal designs with n 0 mod 4

被引：8

作者：

Li, CH ^{[1
]}

Yang, SY ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 400卷 / 1-3期

关键词：

D-optimal designs; Hadamard's inequality; Fisher's inequality;

D O I：

10.1016/j.laa.2004.11.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to analyze a conjecture in D-optimal designs proposed by Bora-Senta and Moyssiadis [An algorithm for finding exact D- and A-optimal designs with n observations and k two-level factors in the presence of autocorrelated errors, J. Combin. Math. Combin. Comput. 30 (1999) 149-170] in 1999. With the aid of techniques of differential calculus, Hadamard's and Fisher's inequalities for symmetric and positive definite matrices, we prove that the conjecture is true for it autocorrelated observations and k two-level factors with n = 4v and k = 2. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：279 / 290

页数：12