数学物理学报

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正交表的乘法

庞善起; 张应山   

  1. 河南师范大学数学系, 新乡 453007
  • 收稿日期:2004-08-25 修回日期:2006-04-24 出版日期:2007-06-25 发布日期:2007-06-25
  • 通讯作者: 庞善起
  • 基金资助:
    基金项目:国家自然科学基金(10571045)、河南省自然科学基金(0411011100)和河南省高校青年骨干教师基金

Multiplication of Orthogonal Arrays

Pang Shanqi; Zhang Yingshan   

  1. Department of Mathematics, Henan Normal University, Xinxiang 453007
  • Received:2004-08-25 Revised:2006-04-24 Online:2007-06-25 Published:2007-06-25
  • Contact: Pang Shanqi

摘要: 该文根据投影矩阵的正交分解定义了一种正交表的乘法运算, 利用这种乘法可以从小的正交表构造新的大的正交表.

关键词: 正交表, 矩阵象, 投影矩阵, Kronecker和

Abstract: A kind of multiplication of orthogonal arrays is presented by exploring orthogonal decomposition of projection matrices. Using this multiplication, one can construct some new larger orthogonal arrays from smaller ones.

Key words: Mixed-level orthogonal array, Projection matrix, Permutation matrix, Kronecker sum

中图分类号: 

  • 62K15