Multipoint Model Order Reduction Using Reflective Exploration

Abstract

Summary. Reduced order models obtained by model order reduction methods must be accurate over the whole frequency range of interest. Multipoint reduction algorithms allow to generate accurate reduced models. In this paper, we propose the use of reflective exploration technique for obtaining the expansion points adaptively for the reduction algorithm. At each expansion point the corresponding projection matrix is computed. Then, the projection matrices are merged and truncated based on their singular values to obtain a compact reduced order model.

ANN Model of Border Regions Development: Approach of Closed Systems

“…In other words, closed system is a system in which there is no free energy exchange with external environment subjects and influence of these subjects on such system is practically zero. Another approach, when interpreting the closed systems, is the assertion that such systems are the systems adequately modeled by statistical methods using, for example, regression techniques [4,5]. In economic geography, closed systems are the formations, the structure of which does not change within a certain period of time [6].…”