A simple method for constructing orthogonal arrays by the Kronecker sum
type: Item
instance of: scholarly article
title: A simple method for constructing orthogonal arrays by the Kronecker sum
zbMATH Open document ID: 1109.15016
author: Weiguo Li
author: Shisong Mao
author: Zhongguo Zheng
author: Yingshan Zhang
published in: Journal of Systems Science and Complexity
publication date: 2007-01-25T00:00:00Z
review text: The authors propose a new general approch to constructing orthogonal arrays, the Kronecker sum. In general, the procedure of constructing asymmetrical orthogonal arrays in their theory has been partitioned mainly into five parties: orthogonal-array addition, subtraction, multiplication, division and replacement. In this article the technique, namely generalized Kronecker product, is further explained and extended to construct some new asymmetrical orthogonal arrays by using the orthogonal decompositions of projection matrices. Section 2 contains the basic concepts of main theorems. Some new mixed level orthogonal arrays are constructed in Section 3.
reviewed by: Yueh-er Kuo
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 5118538
zbMATH Keywords: difference matrices
zbMATH Keywords: Kronecker sum
zbMATH Keywords: projection matrices
zbMATH Keywords: orthogonal arrays
zbMATH Keywords: Kronecker product
MaRDI profile type: Publication
full work available at URL: s11424-006-0266-2
OpenAlex ID: W2060885271
cites work: Orthogonal Arrays of Strength two and three
cites work: Generalized Hadamard Matrices and Orthogonal Arrays of Strength Two
cites work: Orthogonal arrays. Theory and applications
cites work: Q4257275
cites work: Orthogonal arrays obtained by generalized Hadamard product
cites work: Construction of generalized Hadamard matrices \(D(r^m(r+1),r^m(r+1);p)\)
cites work: Q4031853
DOI: 10.1007/S11424-006-0266-2
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description: scientific article; zbMATH DE number 5118538