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To accelerate the pace of economic growth in Russia, technological modernization of production is necessary, but an appropriate mechanism must be developed for the digitization of its implementation management. The modern economic theory of endogenous economic growth does not allow one to proceed to the substantiation of the quantitative aims of technological development of production systems compatible at the macro, meso and micro levels of management, and without them any developed strategy of such development is ineffective. Accordingly, in practice, many unrelated target indicators are used to assess the use of technological innovations. To solve the above problem, it is proposed to use the terms of the developed new direction of economic analysis of the production systems (investment and innovation): investment and innovation leverage, a matrix of directions for the development of production systems depending on the efficiency of the resources used, the life cycle of the technological development of production systems and indicators of the stages of technological development: coefficient of the level of technological production, material return and capital productivity of production, calculated in the same way for all levels of management of the economy of the country and the regions of the Federation. As a result, an algorithm for real achievement of target values of interrelated indicators set by the production system in the process of finding out a retrospective investment and innovation analysis and the subsequent process of technological and economic forecasting and planning has been developed on a theoretical and methodological basis, which makes it possible to digitize the management of technological modernization. Keywordseconomic growth, technological modernization, production system, indicators of technological development, investment and innovative analysis, coefficient of the level of manufacturability of production. I.

Arctic regions are the most important raw material base for the further development of the Russian economy but industrial production located there operates in adverse climatic conditions and the nature is extremely vulnerable to production waste pollution. In this regard it is very important to consider the current state and prospects of innovative activities of the industry. The paper considers the method of identifying the interrelation between the rates of economic growth of production in the regions of the Federation and its innovative activities based on a quantitative determination of the extensiveness and intensity of growth and the determination of the possibility of innovative development. At the same time an increase in the level of innovative activities should lead to a simultaneous increase in material efficiency, capital efficiency, and labor productivity. The dynamics of the rates of extensiveness and intensity of economic growth in all four regions of the Arctic for the period 2005-2016 over three separate types of industrial activity is shown. It is noted that economic growth in all regions was predominantly extensive. The intensive type of growth was only in certain regions in certain years of the analyzed period. It was determined that in order to increase the level of innovative activities of the industry government support is needed in the form of forming and implementing an appropriate incentive system including the "quasi-self-financing" of innovative activities. KeywordsArctic, types of economic growth, innovative activities, industrial production, efficiency of economic resources.

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