## On the nonmonotone behavior of the Newton‐GMBACK method

AbstractGMBACK is a Krylov solver for large linear systems, which is based on backward error minimization properties. The minimum backward…

AbstractGMBACK is a Krylov solver for large linear systems, which is based on backward error minimization properties. The minimum backward…

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

AbstractWhen the GMBACK solver is used in the Newton iterates, the iterates may be written either as inexact Newton iterates…

Abstract? AuthorsI. K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute…

Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…

Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…

AbstractTwenty years after the classical book of Ortega and Rheinboldt was published, five definitions for the (Q)-convergence orders of sequences…

We present some historical aspects regarding pioneering results obtained at our Institute more than half a century ago, illustrated by…

Abstract The inexact perturbed Newton methods recently introduced by us are variant of Newton method, which assume that at each step…

Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu (Tiberiu…

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of an integral equation with supremum. The paper ends with the…

Read More AbstractIn the paper [4] the author give a new method to study the existence and uniqueness of a solution on [0, ∞[ of a scalar integral equation x(t) = g(t,…

Read More AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is that dark matter could exist in the form of a…

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