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We develop a foreign exchange market model in which a market maker adjusts the exchange rate with respect to the trading behavior of chartists, fundamentalists and a central bank. While chartists bet on the persistence of bull and bear markets, fundamentalists speculate on mean reversion. The central bank seeks to stabilize the foreign exchange market by placing buy (sell) orders when the undervaluation (overvaluation) of the exchange rate exceeds a certain threshold. Since a one-dimensional piecewise-linear discontinuous map with three branches determines the evolution of the exchange rate, we use a combination of analytical and numerical tools to explore the extent to which the central bank is able to tame the behavior of the foreign exchange market. [ABSTRACT FROM AUTHOR]

The features of regularization method of ill-conditioned derivatives matrices from transfer resistances (nodal voltages) on surface zones conductivities solving the Electrical Impedance Tomography (EIT) reconstruction problems are considered. Using the proposed method allows significantly (hundreds of times) reduce the derivatives matrices orders in comparison to the classical phantom model using finite element method that noticeably simplifies the images reconstruction. The calculation examples show that for separate inhomogeneity visualization (geometric localization, size and character definition) it is sufficient to use the no iteration regularization by A. Tikhonov. The iteration regularization should be applied in cases when it is necessary to determine the absolute values of inhomogeneity conductivities with some precision; it requires a large number of iterations. The alternative method (for the last one) is the modification method for matrix inversion. The examples of inhomogeneity (in the center and in the edge of phantom) visualization are shown. [ABSTRACT FROM AUTHOR]