-
Date submitted2019-07-06
-
Date accepted2019-09-11
-
Date published2019-12-24
Structural changes and innovation economic development of the Arctic regions of Russia
- Authors:
- S. A. Berezikov
This article is devoted to problem of assessing relationship of innovative economic development and structural changes in industry of the Arctic regions. Performed analysis showed that change in the structure of industrial production in the Arctic regions from 2010 to 2016 was characterized by significant interregional differences in speed and intensity of transformation processes. It is shown that one of the key factors that caused structural changes in industry of the Arctic regions of Russia in 2010-2016 was increase in economic role of innovations and change in the pace of innovative processes development. In particular, the results of correlation analysis showed the presence of stable positive links between «science intensity» of economy and transformation of regional industry structure. The presence of a strong positive connection between impact of innovative development factors – an increase in growth rate of innovative goods – and structural changes in industrial production was set. Another factor contributing to structural changes in industry was investment in modernization of production. It is proved that in order to ensure further sustainable economic growth in regions of the Arctic, a necessary condition should be a substantial increase of «science intensity» in economy, including industries related to mining operations.
-
Date submitted1951-07-01
-
Date accepted1951-09-16
-
Date published1952-12-23
On the calculation of eigenvalues by the method of steepest descent
- Authors:
- M. Sh. Birman
L. V. Kantorovich proposed a new direct method for solving problems of the calculus of variations, which he called the steepest descent method. As L. V. Kantorovich showed, the method can be successfully used for the approximate solution of linear functional equations in a Hilbert space. In addition, L. V. Kantorovich applied the steepest descent method to the problem of eigenvalues of completely continuous operators. In application to this problem, the method consists of the following. In this note, a proof of the convergence of the process is given without the assumption of closeness of x0 to x*. In addition, a comparison of the steepest descent method with the known iterative method for calculating eigenvalues is made, and a multi-step version of the method under consideration is investigated. In what follows, the assumption that m = 0 is not used.