On Optimality of Designs with Three Distinct Eigenvalues

[摘要] Let ${\cal D}_{v,b,k}$ denote the family of all connected block designs with $v$ treatments and $b$ blocks of size $k$. Let $d\in{\cal D}_{v,b,k}$. The replication of a treatment is the number of times it appears in the blocks of $d$. The matrix $C(d)=R(d

[学科分类] 离散数学和组合数学

[关键词] Optimal designs;Designs with three eigenvalues;D-optimal;E-optimal;$\Phi_p$-optimal;KKT conditions;Group divisible designs