Solution of one class of nonlinear balance models of intersectoral ecological-economic interaction

Abstract

This paper analyzes nonlinear balance models of intersectorial ecological-economic interaction and proposes new approaches to solving them. The efficiency of these algorithms and possibility of using them in practice are substantiated.

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“…Äëÿ áàãàòüîõ êëàñiâ ïîëiíîìiàëüíèõ ìàòðè÷íèõ ïiâíÿíü âäà¹òüñÿ ïîäàòè ¨õíi ðîçâ'ÿçêè íåñêií÷åíèìè ìàòðè÷íèìè ëàíöþãîâèìè äðîáàìè [5], [6], à íàáëèaeåíi çíà÷åííÿ îäåðaeàòè øëÿõîì îá÷èñëåííÿ ïåâíî¨êiëüêîñòi ïîâåðõiâ äðîáó.…”

Bulletin of the Polish Academy of Sciences: Technical Sciences

“…On the other hand, composition (3) gives the following development of solution (2) in the matrix chain fraction…”

“…The issues raised in the article have appeared in generalised Leontiev-Ford simulations for the macroeconomic balance [1,2] in solving Fredholm integral equations with non-linear nuclei. Contemporary scientific literature lacks publications related to the problem.…”