nonlinear systems in Rn

Accurate Chebfun solutions to third-order nonlinear BVPs on the half-line. Applications in boundary layer theory

3 months ago

Abstract The paper is devoted to obtaining accurate numerical solutions to some third-order nonlinear boundary problems on the real semi-axis…

Methods of Newton and Newton-Krylov type

5 years ago

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

Estimating the radius of an attraction ball

7 years ago

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

On the convergence of some quasi-Newton iterates studied by I. Păvăloiu

7 years ago

Abstract In 1986, I. Păvăloiu [6] has considered a Banach space and the fixed point problem \[x=\lambda D\left( x\right) +y,…

The inexact, inexact perturbed and quasi-Newton methods are equivalent models

7 years ago

Abstract A classical model of Newton iterations which takes into account some error terms is given by the quasi-Newton method,…

Affine invariant conditions for the inexact perturbed Newton method

7 years ago

Abstract The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant…

Inexact perturbed Newton methods and applications to a class of Krylov solvers

7 years ago

Abstract Inexact Newton methods are variant of the Newton method in which each step satisfies only approximately the linear system…

On accelerating the convergence of the successive approximations method

7 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

7 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

7 years ago

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

nonlinear systems in Rn

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