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Fourier expansion; orthogonal polynomials on $L^2(\Omega)$ space; approximate solution of linear algebraic equations; Richardson iteration; preconditioning; polynomial methods; numerical examples

References:

[1] Doan Van Ban, Moszyński K., Pokrzywa A.: **Semiiterative methods for linear equations**. Matematyka Stosowana-Applied Mathematics, Vol. 35, Warszawa, 1992. MR 1221221

[2] Gaier D.: **Lectures on Complex Approximation**. Birkhäuser, 1989. MR 0894920

[3] Reichel L.: **Polynomials by conformal mapping for the Richardson iteration method for complex linear systems**. SIAM NA 25 no. 6 (1988), 1359-1368. DOI 10.1137/0725077 | MR 0972459 | Zbl 0692.65011