the algorithm and program of m-matrices search and study

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ID: 148980
2013
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Abstract
The algorithm and software for search and study of orthogonal bases matrices – minimax matrices (M-matrix) are considered. The algorithm scheme is shown, comments on calculation blocks are given, and interface of the MMatrix software system developed with participation of the authors is explained. The results of the universal algorithm work are presented as Hadamard matrices, Belevitch matrices (C-matrices, conference matrices) and matrices of even and odd orders complementary and closely related to those ones by their properties, in particular, the matrix of the 22-th order for which there is no C-matrix. Examples of portraits for alternative matrices of the 255-th and the 257-th orders are given corresponding to the sequences of Mersenne and Fermat numbers. A new way to get Hadamard matrices is explained, different from the previously known procedures based on iterative processes and calculations of Lagrange symbols, with theoretical and practical meaning.
Reference Key
balonin2013nauno-tehnieskijthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Y. N. Balonin;M. B. Sergeev
Journal bmc pharmacology and toxicology
Year 2013
DOI
DOI not found
URL
http://openbooks.ifmo.ru/read_ntv/4194/4194.pdf
Keywords
computer science

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