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The numerical algorithms for solving the problems of amplitude-phase and phase antennas arrays synthesis according to a given amplitude directivity pattern (DP) with regard the mutual coupling are presented for the linear array of vibrators. The mutual coupling of radiators are taken into account by the method of an induced electromotive force. The variational formulation of problems are considered. They are reduced to solving the Euler equations, which are nonlinear integral or matrix equations. In the case of nonequidistant array synthesis, freedom of choice of radiators coordinates is used as additional possibility to improve the quality of approximation of DP to the given one. Phase synthesis problem considered in this paper is the other type of synthesis problem. The magnitude pattern and the amplitude of voltages are given and the phase of voltages are unknown in this problem.