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This paper describes an algorithm for the solution of a system of nonlinear equations F(X)-O, where 0 = (0. .. .. 0) ~ R", and F is a gwen continuous transformation of n-dimensional simplex S into R"(n >_ 2) The program is based on computation of the topological degree ((leg) of a mapping and a slmplex-b~sectlon scheme. The algorithm is primarily useful for… (More)

We describe a family of optimal quadrature formulas for approximating the integral fw-'(I-,,,]) [(z) dz, where f belongs to the Hardy's class Hp(D), 1 < p <-+0% D is an open simply connected domain in the complex plane, and w is a conformal map of D onto the unit disk U. We consider four different classes of domains D~, 0 < d <-Ir/2, t = 1, 2, 3, 4. If the… (More)

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