Computer estimates of the characteristics of multidimensional operations and objects. II.
Artemenko VA, Andryukhin A.I.,Filer Z.E.
We consider well-known classical multidimensional objects, such as complex and hypercomplex numbers, complex vectors, and matrices. and the definition of their comparison operations. We consider variants of constructing a scalar mapping of complex numbers. Representations and properties of matrices are considered on the basis of this mapping. Visual mock-stochastic estimates of interval mapping regions for various parameters are presented. The results of the work can be used to solve certain problems of constructing stable control systems, the theory of interval analysis, and the theory of system identification. In calculations, Wolfram Mathematica 11.2 was used.Keywords: scalar mapping, multidimensional operation, complex number, matrix, multidimensional quantities, interval analysis.
