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Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…

Abstract We are concerned with the approximation of the solution of scalar equations by Halley-Aitken method. We obtain local convergence…

Abstract We analyze in a unitary way the iterative methods for solving scalar equations, which are of inverse interpolation form.…

Abstract The Chebyshev method for approximating the solutions of polynomial operator equations of degree 2 is presented. The convergence of the Chebyshev…

Abstract The paper is concerned with the order of convergence and the efficiency index of iterative methods of interpolatory type…

Abstract It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled…

Abstract In this paper we deal with iterative methods of interpolatory type, for solving nonlinear equations in Banach spaces. We…

Abstract In order to approximate the solutions of nonlinear systems \[F(x)=0,\] with \(F:D\subseteq {\mathbb R}^n \rightarrow {\mathbb R}^n\), \(n\in {\mathbb…

Abstract We study the local convergence of a generalized Steffensen method. We show that this method substantially improves the convergence…