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 \(X\)…

On some iterative methods for solving nonlinear equations

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…

Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices

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…

On the iterative methods with high convergence orders

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…

Newton method

Related Posts

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

On some iterative methods for solving nonlinear equations

Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices

On the iterative methods with high convergence orders