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 On the occasion of the seventy-fifth birthday of Dmitrii Konstantinovich Faddeev 771 On the problem of spectral optimization of iterative methodsA. V. Buledza 773 The connection between the generalized residual method and the generalized principle of the residual for nonlinear ill-posed problemsA. S. Leonov 783 Regularization of dissipative operator equations of the first kindB. Kh. Imomnazarov 791 Application of the regularization method to the estimation of some a priori distributionsI. E. Simonova 801 The generalized gradient method: Convergence, stability, and error estimationYa. I. Al'ber, S. V. Shil'man 814 Discrete approximation and stability in extremal problemsV. V. Vasin 824 Construction of piecewise-constant control of pursuit in direct Pontryagin methodsM. S. Nikol'skii 840 Solution of stiff boundary value problems by differential pivotal condensationV. Ya. Gol'din, A. V. Kolpakov 850 Uniqueness of the solution of some inverse problems for the heat equation with a piecewise-constant coefficientA. M. Denisov 858 The asymptotics of the solution of an equation of parabolic type with small parameters multiplying the highest derivativesV. F. Butuzov, A. V. Nesterov 865 Convergence of the “Rhombus” finite-difference method of solving hyperbolic systems of equationsA. D. Gadzhiev 871 On the theory of direct problems on the electrodynamics of inhomogeneous anisotropic mediaV. G. Romanov, M. G. Savin 880 Asymptotic form of the solution of the problem of waves on the surface of a heterogeneous stratified liquidR. Castro 891 Iterative methods for solving difference schemes for equations of gas dynamics with heat conductivityYu. A. Poveschenko, Yu. P. Popov, E. A. Samarskaya 903 Derivation of the equations for the motion of vibrationally excited gasesN. K. Makashev 913 Two-dimensional difference schemes of magnetohydrodynamics on triangle Lagrange meshesV. M. Goloviznin, V. K. Korshunov, A. A. Samarskii 926 The correctness of the difference approximation of a boundary condition in problems of penetrationV. V. Bashurov, V. A. Svidinskii 943 The problem of synthesizing fuzzy algorithms for solving problems of integral linear programmingYu. N. Minaev 950 Learning algorithms based on the construction of decision treesV. I. Donskoi 963 On the capacity of a model of recognition algorithms using calculation of estimatesA. Itskov 975 Scientific communications On the application of pseudo-inversion to the solution of systems of equationsB. P. Pugachev 982 Fast linear transformations of a planeV. T. Zhirnov, O. E. Trofimov 986 Principle of the residual in the case of a perturbed operator for general regularizing algorithmsA. B. Bakushinskii 989 Necessary and sufficient conditions for the convergence of finite-dimensional approximations of the residual methodA. R. Danilin 994 Convergence of the gradient method of limit optimizationS. L. Ivanov 997 On the exact solution of systems of linear inequalities and linear programming problemsL. G. Khachiyan 999 Optimal surfaces of a flow in supersonic spatial flowsM. P. Levin 1003 Solution of an equation of radiation transport in randomly inhomogeneous media by the Monte Carlo methodM. V. Tantashev 1008 Some inequalities connected with subsets of layers of an $n$-dimensional unit cubeN. N. Katerinochkina 1012 Scientific information Cohn D. L. Measure theory. Boston etc.: Birkhäuser, 1980, IX+373 p. (Book review)B. Golubov 1016