Application mirroring of matrices to prevent excessive reduction

Description of Algorithms for Balancing Numerical Matrices and Their Division Into Hierarchical Levels According to Their Type and Complexity

“…In this article, these algorithms will have a slightly more complex description and additional definitions that will allow you to more clearly see the difference between these levels. These definitions will be used in future works [12][13][14][15][16][17][18][19][20][21][22].…”

“…After that, the obtained matrices of numbers were changed by various manipulations, the size of the matrix and the content were changed. Thus, the author came to the possibility of reducing numerical matrices [9][10][11][12][13]. At the beginning of matrix reduction studies, the results of each iteration had quite unpredictable consequences for the size of these matrices, for example, the number of columns could only decrease, and the number of rows could both decrease and increase.…”

Research on the use of algorithms for matrix transformations for encrypting text information

“…In addition to the algorithms and methods mentioned in the article, the author also developed a set of rules, comments, exceptions, and strict observance of which is mandatory 1-14. Without following this methodological provision, there is a high probability of miscalculation in the calculations, which in turn will lead to irreversible transformation of the matrix.…”