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Conference Matrices for Application and Procedure Read chapter Read first chapter

2024 | OriginalPaper | Chapter

2. Conference Matrices Generation

Author : Teruo Mori

Published in: Conference Matrices for Optimizing and Applications

Publisher: Springer Nature Singapore

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Abstract

Conference matrices were first used in Belevitch’s (Belevitch, Electric Communication 26:231–244, 1950) telephone network diagnostics. Hadamard matrices and mixed orthogonal arrays are vertical matrices. However, the conference matrices is　the square orthogonal matrices. In principle, we will explain the generation mechanism of the conference matrices that can be constructed every two rows.

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previous chapter Conference Matrices for Application and Procedure
next chapter Regression Analysis for Conference Matrices
Literature
Balonin, N. A., & Seberry, J. (2014). A Review and new symmetric conference matrices. Research online University of Wollongong.
Belevitch, V. (1950). Theorem of 2n−terminal networks with application to conference telephony. Electric Communication, 26, 231–244.
Boumedine, T. (2016). Complex conference matrices. Springer International Publishing, Switzerland.
Mori, T., Sadamatsu, I., Matsuura, S., & Tanaka, K. (2019). Parameter design by orthogonal programming using conference matrices and two−level noise. Quality, 49(3), 66–78.
Tanaka, K. (2016). Conference matrices and design of experiments. Quality, 461, 51−54.
Xiao, L., Lin, D. K. J., & Bai, F. (2012). Constructing definitive screening design using conference matrices. Journal of Quality Technology, 44, (1), 2−8.
Metadata
Title
Conference Matrices Generation
Author
Teruo Mori
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Conference Matrices for Optimizing and Applications

Print ISBN: 978-981-9968-38-1

Electronic ISBN: 978-981-9968-39-8

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-99-6839-8_2

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