Interpolation and Applications
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author,…
Posts by Ion Păvăloiu
Local and global convergence results for a class of Steffensen-Aitken-type methods
Abstract? AuthorsI. K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute…
Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure
Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…
On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term
Abstract? Authors I.K. Argyros Department of Mathematics, Cameron University E. Catinas Tiberiu Popoviciu Institute of Numerical Analysis I. Pavaloiu Tiberiu Popoviciu Institute of…
On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
Solution of a polylocal problem with a pseudospectral method
Abstract Consider the problem: \( y”(x) + f(x, y) = 0, \ \ x \in [0, 1], y(a) = \alpha,…
On the convergence of some one step and multistep iterative methods
Abstract AuthorIon Păvăloiu Keywordsnonlinear equations in R; one step iterative methods; multistep iterative methods; convergence order. ReferencesPDFScanned manuscript (in Romanian).…
On computational complexity in solving equations by Steffensen type methods
Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…
On computational complexity in solving equations by interpolation methods,
Abstract AuthorsIon Păvăloiu KeywordsPDFScanned paper. Latex version of the paper. Cite this paper as:I. Păvăloiu, On computational complexity in solving…
Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term
Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu (Tiberiu…