Numerical Methods for Dynamical Systems
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2004
The equivalence between Mann–Ishikawa iterations and multistep iteration
AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps
AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…
Mathematics applied in economy (volume 1)
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On compound operators depending on s parameters
AbstractIn this note we introduce a compound operator depending on s parameters using binomial sequences. We compute the values of…
Numerical Modeling of Large Scale Transport of Contaminant Solutes Using the Global Random Walk Algorithm
AbstractThe methods which track particles to simulate concentrations are successfully used in problems for large scale transport in groundwater, mainly…
Local convergence of some Newton type methods for nonlinear systems
Abstract In order to approximate the solutions of nonlinear systems \[F(x)=0,\] with \(F:D\subseteq {\mathbb R}^n \rightarrow {\mathbb R}^n\), \(n\in {\mathbb…
Local convergence of general Steffensen type methods
Abstract We study the local convergence of a generalized Steffensen method. We show that this method substantially improves the convergence…