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- W2953011507 abstract "This article is devoted to matrices which play a significant role in digital signal processing, artificial intelligence systems, and mathematical natural sciences in the whole. The study of the world of matrices is going on intensively all over the world and constantly brings useful and unexpected results. This paper discusses the determinant optimization method for finding so-called quasi-orthogonal matrices. It is shown that the area of its application is extended due to matching of quasi-orthogonal matrices, which are locally optimal by their determinants (Cretan matrices), and non-orthogonal matrices of determinant maximum (D-matrices). All necessary definitions of matrices and their properties, used in the optimization algorithm, are provided. Two realizations of the algorithm are given—the basic and the reversed one. Examples of matrices calculated using the proposed method are given." @default.
- W2953011507 created "2019-06-27" @default.
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- W2953011507 date "2019-05-03" @default.
- W2953011507 modified "2023-09-27" @default.
- W2953011507 title "Determinant Optimization Method" @default.
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- W2953011507 doi "https://doi.org/10.1007/978-3-030-12082-5_14" @default.
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