https://libeldoc.bsuir.by/handle/123456789/45785| Title: | Eigen Transformations of Symmetric Matrices in Information Processing Problems |
| Authors: | Demko, V. Zaitseva, V. |
| Keywords: | материалы конференций;conference proceedings;symmetric matrix;eigenvalues;rotation operators |
| Issue Date: | 2021 |
| Publisher: | UIIP NASB |
| Citation: | Demko, V. Eigen Transformations of Symmetric Matrices in Information Processing Problems / Demko V., Zaitseva V. // Pattern Recognition and Information Processing (PRIP'2021) = Распознавание образов и обработка информации (2021) : Proceedings of the 15th International Conference, 21–24 Sept. 2021, Minsk, Belarus / United Institute of Informatics Problems of the National Academy of Sciences of Belarus. – Minsk, 2021. – P. 221–222. |
| Abstract: | The mathematical justification of the algorithm for synthesis of proper transformation and the finding the eigenvalue of a symmetric matrix of dimension based on orthogonal rotation operators is given. Analytical relations for calculating the eigenvalues of symmetric matrix is optained. It is shown that the proper transformation has factorized structure in the form of a product of rotation operators. Each operator is a direct sum of elementary rotation matrices. |
| URI: | https://libeldoc.bsuir.by/handle/123456789/45785 |
| Appears in Collections: | Pattern Recognition and Information Processing (PRIP'2021) = Распознавание образов и обработка информации (2021) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Demko_Eigen.pdf | 912.98 kB | Adobe PDF | View/Open |
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