ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION

Chun Luo; Min Yang; Xuanhang Ma; Yingshan Zhang; Sihui He

doi:10.11948/20200485

2021 Volume 11 Issue 6

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Chun Luo, Min Yang, Xuanhang Ma, Yingshan Zhang, Sihui He. ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 2815-2839. doi: 10.11948/20200485

Citation:

Chun Luo, Min Yang, Xuanhang Ma, Yingshan Zhang, Sihui He. ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION[J]. Journal of Applied Analysis & Computation, 2021, 11(6): 2815-2839. doi: 10.11948/20200485

ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION

1.
School of Sciences, Shanghai Institute of Technology, Shanghai, 201418, China
2.
School of Statistics, Faculty of Econ omics and Management, East China Normal University, Shanghai 200241, China

Corresponding author: Email: YangMin20201226@163.com(M. Yang)

Abstract

Abstract

In this paper, by using the orthogonal decompositions of projection matrices, a new general approach is proposed to construct asymmetrical OAs, namely array subtraction, the operation of which is not the usual subtraction but it is interesting since many so called atoms of asymmetrical OAs can be obtained by the array subtraction. It is important to find these atoms from some known asymmetrical OAs since they can make up of many new asymmetrical OAs. As an application of the method, some old and new mixed-level OAs of run sizes 72 and 100 are constructed.
- Mixed-level OA /
- Kronecker product /
- projection matrix /
- permutation matrix
MSC: 62K15, 05B15

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References

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