| In this paper, we proved a sufficient condition for convergence of Cheby shev semi-iterative (CSI) methods applied to the numerical solution of algebraic linear systems, which depends on the bounds on the eigenvalues of a particular matrix and which is given by N.R.Santos and O.L.Linhares in 1986 with a wrong proof. In addition, we discuss the case where the eigenvalues of iterative matrices are complex and establish some sufficient and necessary conditions for convergence of Chebyshev CSI methods. |
