Existence theory for nonlinear operator equations of Hammerstein type in Banach spaces
AbstractWe use topological methods to develop an existence theory for nonlinear operator equations of Hammerstein type in Banach spaces. In…
2005
Positive solutions of evolution operator equations
AbstractExistence and localization results are derived from Krasnoselskii’s compressionexpansion fixed point theorem in cones, for operator equations in spaces of…
On a class of approximation operators
AbstractIn this note we construct a class of approximation operators using polynomial sequences of binomial type. We compute the expression…
Sheffer sequences, probability distributions and approximation operators
AbstractWe present a new method to compute formulas for the action on monomials of a generalization of binomial approximation operators…
Approximations and ergodicity for transport in heterogeneous media by periodic random fields
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy J.P. Eberhard C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy KeywordsCite…
On spectral properties of some Chebyshev-type methods. Dimension vs. structure
AbstractThe aim of the present paper is to analyze the non-normality of the matrices (finite dimensional operators) which result when some…
Biased global random walk, a cellular automaton for diffusion
Abstract ? AuthorsN. Suciu Institute of Applied Mathematics, Martensstraße 3, Erlangen, Germany C. Vamoş Tiberiu Popoviciu” Institute of Numerical Analysis,…
The inexact, inexact perturbed and quasi-Newton methods are equivalent models
Abstract A classical model of Newton iterations which takes into account some error terms is given by the quasi-Newton method,…
Sufficient convergence conditions for certain accelerated successive approximations
Abstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…
Accelerating the convergence of the iterative methods of interpolatory type
Abstract In this paper we deal with iterative methods of interpolatory type, for solving nonlinear equations in Banach spaces. We…