## An implicit numerical spline method for systems for ODEs

Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…

Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…

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

Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…

AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…

AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…

Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…

Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…

Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…

AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…

AbstractThe convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive…