ORTHOGONAL ARRAYS CONSTRUCTED BY GENERALIZED KRONECKER PRODUCT

Chun Luo; Yingshan Zhang; Xueping Chen

doi:10.11948/2017046

2017 Volume 7 Issue 2

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Chun Luo, Yingshan Zhang, Xueping Chen. ORTHOGONAL ARRAYS CONSTRUCTED BY GENERALIZED KRONECKER PRODUCT[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 728-744. doi: 10.11948/2017046

Citation:

Chun Luo, Yingshan Zhang, Xueping Chen. ORTHOGONAL ARRAYS CONSTRUCTED BY GENERALIZED KRONECKER PRODUCT[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 728-744. doi: 10.11948/2017046

ORTHOGONAL ARRAYS CONSTRUCTED BY GENERALIZED KRONECKER PRODUCT

1 College of Sciences, Shanghai Institute of Technology, Shanghai 201418, China;
2 School of Statistics, Faculty of Economics and Management, East China Normal University, Shanghai 200241, China;
3 Department of Mathematics, Jiangsu University of Technology, Jiangsu Changzhou 213001, China

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Abstract

Abstract

In this paper, we propose a new general approach to construct asymmetrical orthogonal arrays, namely generalized Kronecker product. The operation is not usual Kronecker product in the theory of matrices, but it is interesting since the interaction of two columns of asymmetrical orthogonal arrays can be often written out by the generalized Kronecker product. As an application of the method, some new mixed-level orthogonal arrays of run sizes 72 and 96 are constructed.
- Mixed-level orthogonal arrays /
- generalized Kronecker product /
- difference matrices /
- projection matrices /
- permutation matrices
MSC: 62K15;05B15

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References

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