Algorithm of exact solution of generalized four-element Riemann–Hilbert boundary problem with rational coefficients and its programm realization

An algorithm for an exact solution of the generalized four-element Riemann–Hilbert boundary problem with rational coefficients on unit cirle was suggested. An algorithm is based on a reduction of the problem to the matrix Riemann boundary problem. The Maple procedure for a realization of the algorithm is made. Calculations in the field ${\mathbb Q}(i)$ are used.