Matrices having the largest known determinant in machine-readable form

Published: 3 August 2019| Version 1 | DOI: 10.17632/hzf94h43c5.1
Contributor:
Alexey Ukhalov

Description

The data set contains matrices having maximal known determinant of various orders (up to 119). Data taken from the site http://www.indiana.edu/~maxdet/ In our dataset, matrices are presented in machine-readable form, convenient for use in programs. We used these data in the preparation of articles 1) Nevskii, M.V. & Ukhalov, A.Y. On Minimal Absorption Index for an n-Dimensional Simplex. Automatic Control and Computer Sciences. 2018. Volume 52, Issue 7, pp 680–687. https://doi.org/10.3103/S0146411618070209 In Russian: Nevskii M.V., Ukhalov A.Y. On Minimal Absorption Index for an n-Dimensional Simplex. Modeling and Analysis of Information Systems. 2018. Volume 25, No 1, pp. 140-150. (In Russ.) https://doi.org/10.18255/1818-1015-2018-1-140-150 2) Nevskii, M.V. & Ukhalov, A.Y. On Optimal Interpolation by Linear Functions on n-Dimensional Cube. Automatic Control and Computer Sciences. 2018. Volume 52, Issue 7, pp 828–842. https://doi.org/10.3103/S0146411618070283 In Russian: Nevskii M.V., Ukhalov A.Y. On Optimal Interpolation by Linear Functions on an n-Dimensional Cube. Modeling and Analysis of Information Systems. 2018. Volume 25, No 3, pp. 291-311. (In Russ.) https://doi.org/10.18255/1818-1015-2018-3-291-311 3) Nevskii, M. and Ukhalov, A. Properties of (0, 1)-matrices of order n having maximal determinant. Mathematical notes of NEFU. 2019. Volume 26, No 2, pp. 109-115. https://doi.org/10.25587/SVFU.2019.102.31516 Definitions, basic facts and formulas can be found in the listed works. See also the bibliography in these articles. We also present some programs in the Wolfram Language that were used in the above researches. Each file is presented in three formats: Wolfram Mathematica Notebook, PDF, and Plain Text. Files: 1) Matrices_Plus_Minus_One_MaxDet - matrices of various order 2) Hadamard_24 - sixty Hadamard matrices of order 24 3) Calculating_Procedures - some functions for processing matrices 4) Tests - examples of using functions and calculations with data

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