Newton method

On some Steffensen-type iterative methods for a class of nonlinear equations

7 years ago

Abstract Consider the nonlinear equations

$H(x):=F(x)+G(x)=0$ , with

$F$ differentiable and

$G$ continuous, where

$F,G,H:X \rightarrow X$ are nonlinear operators and

$X$ …

7 years ago

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…

7 years ago

Abstract We consider a square matrix

$A$ with real or complex elements. We denote

$\mathbb{K}=\mathbb{R}$ or

$\mathbb{C}$ and we are…

7 years ago

Abstract Let

$X$ be a Banach space and

$Y$ a normed space, and

$P:X\rightarrow Y$ a nonlinear operator. In order…