Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-83-87
DOI: https://dx.doi.org/10.15863/TAS.2020.03.83.87
Language: Russian
Citation: Zhanatauov, S. U., & Seitkamzina, R. B. (2020). Matrices of indicators of recoverable knowledge. ISJ Theoretical & Applied Science, 03 (83), 464-475. Soi: http://s-o-i.org/1.1/TAS-03-83-87 Doi: https://dx.doi.org/10.15863/TAS.2020.03.83.87 |
Pages: 464-475
Published: 30.03.2020
Abstract: The problem is solved in the article: for the given 5 matrices of eigenvectors of different dimensions (they were calculated using real data [2-6]), find 2 matrices A + qp, B + pp of eigenvectors containing all indicators of 5 matrices of eigenvectors Cnn [2- 6]. Without changing indicators, transform the solution to this problem into the solution from [1], where the input object is the diagonal matrix ?pp = diag (?1, ..., ?p), ?1> ...> ?p> 0, ?1 + ... + ?p = p, p + q = n, p? q. it is required to find the values ??of the elements of 2 model submatrices Zmq, Zmp of the matrix Zmn = [Zmq/Zmp], consisting of m values ??of n z-variables, n = q + p, q?p. The set of z-variables is divided into 2 groups: the first group combines the z-variables z1, ..., z5, the second z6, ..., z9.) :( 1 / m) UTU = ? (1) pp, (1 / m) VTV = ? (2) pp, (1 / m) UTV = ?2pp = diag (?21, ..., ?2p), ?21> ...> ?2p> 0. Model matrices A + qp and B + pp must have algebraic properties of orthonormal matrices corresponding to positive eigenvalues.
Key words: excess canonical variable, serfdom, redundancy -canonical variable, knowledge indicators.
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