Results 31 to 40 of about 147 (51)
On the convergence of a damped-secant method with modified right-hand side vector [PDF]
[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
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Global error bounds for convex conic problems [PDF]
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)
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Rigorous numerics for NLS: bound states, spectra, and controllability [PDF]
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
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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]
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
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Generalized g-fractional calculus and iterative methods [PDF]
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
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Numerical Studies for Solving Fractional Riccati Differential Equation [PDF]
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
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Unified Ball Convergence of Inexact Methods For Finding Zeros with Multiplicity [PDF]
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
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Miller Analyzer for Matlab: A Matlab Package for Automatic Roundoff Analysis [PDF]
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
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Introducing an Efficient Modification of the Variational Iteration Method by Using Chebyshev Polynomials [PDF]
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.
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