Results 31 to 40 of about 147 (51)

On the convergence of a damped-secant method with modified right-hand side vector [PDF]

open access: yes, 2015
[EN] We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting.
Argyros, Ioannis K.   +3 more
core   +1 more source

Global error bounds for convex conic problems [PDF]

open access: yes, 1998
In this paper Lipschitzian type error bounds are derived for general convex conic problems under various regularity conditions. Specifically, it is shown that if the recession directions satisfy Slater's condition then a global Lipschitzian type error
Zhang, S. (Shuzhong)
core   +1 more source

Rigorous numerics for NLS: bound states, spectra, and controllability [PDF]

open access: yes, 2013
In this paper it is demonstrated how rigorous numerics may be applied to the one-dimensional nonlinear Schr\"odinger equation (NLS); specifically, to determining bound--state solutions and establishing certain spectral properties of the linearization ...
Castelli, Roberto, Teismann, Holger
core   +1 more source

Discretization error cancellation in the plane-wave approximation of periodic Hamiltonians with Coulomb singularities

open access: yes, 2019
In solid-state physics, energies of molecular systems are usually computed with a plane-wave discretization of Kohn-Sham equations. A priori estimates of plane-wave convergence for periodic Kohn-Sham calculations with pseudopotentials have been proved ...
Dupuy, Mi-Song
core  

A unified local convergence for Chebyshev-Halley-type methods in Banach space under weak conditions [PDF]

open access: yes, 2015
We present a unified local convergence analysis for Chebyshev-Halley- type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Chebyshev; Halley; super-Halley and other high order methods.
ARGYROS, Ioannis K., GEORGE, Santhosh
core   +1 more source

Generalized g-fractional calculus and iterative methods [PDF]

open access: yes, 2016
We approximated solutions of some iterative methods on a generalized Banach space setting in [5]. Earlier studies such as [7-12] the operator involved is Frechet-differentiable. In [5] we assumed that the operator is only continuous. This way we extended
ANASTASSIOU, George A.   +1 more
core   +1 more source

Numerical Studies for Solving Fractional Riccati Differential Equation [PDF]

open access: yes, 2012
In this paper, finite difference method (FDM) and Pade\u27-variational iteration method (Pade\u27- VIM) are successfully implemented for solving the nonlinear fractional Riccati differential equation.
Khader, M. M.   +2 more
core   +1 more source

Unified Ball Convergence of Inexact Methods For Finding Zeros with Multiplicity [PDF]

open access: yes, 2019
We present an extended ball convergence of inexact methods for approximating a zero of a nonlinear equation with multiplicity m; where m is a natural number.
Argyros, Ioannis K., George, Santhosh
core   +1 more source

Miller Analyzer for Matlab: A Matlab Package for Automatic Roundoff Analysis [PDF]

open access: yes, 2012
We give a first report on our new software, Miller Analyzer for Matlab, which is an automatic roundoff error analyzer that extends the work of Miller et al.
Gáti, Attila
core   +1 more source

Introducing an Efficient Modification of the Variational Iteration Method by Using Chebyshev Polynomials [PDF]

open access: yes, 2012
In this article an efficient modification of the variational iteration method (VIM) is presented using Chebyshev polynomials. Special attention is given to study the convergence of the proposed method.
Khader, M. M.
core   +1 more source

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