List of publications on a keyword: «»

The paper deals with iterative interpolation methods in forms of similar recursive procedures defined by a sort of simple functions (interpolation basis) not necessarily real valued. These basic functions are kind of arbitrary type being defined just by wish and considerations of user. The studied interpolant construction shows virtue of versatility: it may be used in a wide range of vector spaces endowed with scalar product, no dimension restrictions, both in Euclidean and Hilbert spaces. The choice of basic interpolation functions is as wide as possible since it is subdued nonessential restrictions. The interpolation method considered in particular coincides with traditional polynomial interpolation (mimic of Lagrange method in real unidimensional case) or rational, exponential etc. in other cases. The interpolation as iterative process, in fact, is fairly flexible and allows one procedure to change the type of interpolation, depending on the node number in a given set. Linear interpolation basis options (perhaps some nonlinear ones) allow to interpolate in noncommutative spaces, such as spaces of nondegenerate matrices, interpolated data can also be relevant elements of vector spaces over arbitrary numeric field. By way of illustration, the author gives the examples of interpolation on the real plane, in the separable Hilbert space and the space of square matrices with vektorvalued source data.

The article describes the relevance of the research, such as the assessment of the educational and consulting services market and also the competitive environment based on the analysis of the regional innovative infrastructure. The results of the center activity design are presented, and the basis of the concept of this center functioning is TRIZ (the Theory of Invention Tasks Solving). The basic functional capabilities of the common information space (CIS) are formulated and justified in this research, the CIS-structure is formed, the interfaces of the information resources in the CIS for the interaction with potential users have been developed, and data modeling has been carried out.