## 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…

Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author, title, publisher, year. Book TitlePublisherPrint ISBNAuthorsV. Soporan, C. Vamos, C.…

Read More AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis in [Numer. Math. 144, 451–477, 2020] to the convection-dominated regime.…

Read More Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace eqution) 1.3. Some other boundary value problems 1.4. An eigenvalue…

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