## How many steps still left to x*?

We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…

We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…

Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…

Abstract The inexact secant method \([x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k\), \( x_{k+1}=x_k+s_k\), \( k=1,2,\ldots\), \( x_0,x_1 \in {\mathbb R}^n\) is considered for solving the nonlinear…

Abstract Consider the nonlinear equation \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\), \(X\) a Banach space. The…

Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…