学术
摘 要:
文[3]证明了当P是素数时投影矩阵τp与P水平对称正交表的矩阵象的Kronecker积所包含的正交表是存在的，本文进一步研究了一个非对称正交表的矩阵象和投影矩阵τp的Kronecker积所包含的正交表的存在性，从而推广了文[3]的结论，并且构造出了一些饱和度很高的混合水平正交表．[著者文摘]
文章出处:
《应用数学》-2007年20卷1期 -63-69页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）01-0063-07
The Kronecker Product of Projection Matrices and Related Orthogonal Array
PANG Shan-qi ,YAN Rong,GUO Xue-bin（College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007 ,China）
Abstract:
Paper [3] proves that an orthogonal array can be obtained from the Kronecker product of the matrix image of the symmetrical orthogonal array and the projection matrix τp for a prime p. In this paper, we study the existence of an orthogonal array related to the Kronecker product of the matrix image of an asymmetrical orghogonal array and τp. Consequently, we extend the conclusion of paper [3] and construct some asymmetrical orthogonal arrays with higher percent saturations.[著者文摘]
Key words:
Orthogonal array ; Projection matrix ; Permutation matrix ; Matrix image
基金资助:
国家自然科学基金资助项目（10571045）
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