On semiiterative methods generated by Faber polynomials (Q1124270)

The author studies a fixed point iteration for solving a nonsingular system of linear algebraic equations, especially the properties of different semiiterative methods which are generated by Faber polynomials. If the iteration matrix is diagonalizable, a-priori error estimations are derived which show that the considered methods are nearly optimal in a non-asymptotic sense.