%0 Journal Article
%T ON THE CONSTRUCTION OF NORMAL MIXED DIFFERENCE MATRICES<br>标准混合差集矩阵的构造
%A PANG Shanqi
%A ZHANG Yingshan
%A <br>庞善起
%A 张应山
%J 系统科学与数学
%D 2010
%I 
%X By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method for constructing smaller normal mixed difference matrices. Moreover, given a normal mixed difference matrix of order $r+1$ and a difference matrix of order $r$, this paper also presents a general method for constructing a lager normal mixed difference matrix of order $r(r+1)$. Furthermore, if the difference matrix of order $r$ does not exist but an orthogonal array of runs $r^2$ exists, we can also construct a lager normal mixed difference matrix from the normal mixed difference matrix of order $r+1$ and the orthogonal array of runs $r^2$.
%K Normal mixed difference matrix
%K Kronecker sum
%K orthogonal array
%K projection matrix<br>标准混合差集矩阵
%K Kronecker和
%K 正交表
%K 投影矩阵.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=46E6E44A6168D10349A5D6788127B3CE&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=FED44C0135DC1D9C&eid=1FF3CD54EFC256A1&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=12