local convergence

assuming a solution exists, one gives conditions such that iterates chosen sufficiently close to that solution converge to that solution.

On accelerating the convergence of the successive approximations method

6 years ago

Abstract No q-superlinear convergence to a fixed point \(x^\ast\) of a nonlinear mapping \(G\) may be attained by the successive approximations when…

A note on the quadratic convergence of the inexact Newton methods

6 years ago

Abstract We show that a new sufficient condition for the convergence with q-order two of the inexact Newton iterates may be…

On the high convergence orders of the Newton-GMBACK methods

6 years ago

Abstract GMBACK is a Krylov solver for linear systems in \(\mathbb{R}^n\). We analyze here the high convergence orders (superlinear convergence)…

On an Aitken-Newton type method

6 years ago

Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…

On a Newton-Steffensen type method

6 years ago

Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…

On a robust Aitken-Newton method based on the Hermite polynomial

6 years ago

Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…

Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three

6 years ago

Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…

On a Steffensen-Hermite method of order three

6 years ago

Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…

On a Steffensen type method

6 years ago

Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…

A note on inexact secant methods

6 years ago

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…

local convergence

Related Posts