Results 91 to 100 of about 3,416 (193)
, 2019 We construct range-separated double-hybrid schemes which combine coupled-cluster or random-phase approximations with a density functional based on a two-parameter Coulomb-attenuating-method-like decomposition of the electron-electron interaction. We find
Kalai, Cairedine +2 more
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Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems
Abstract and Applied Analysis, 2014 We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Wen Zhou, Jisheng Kou
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Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
Journal of Computational and Applied Mathematics, 2000 This study obtains two semilocal convergence results for the well-known Chebyshev method, which is a third-order iterative process. The hypotheses required are modifications to the normal Kantorovich ones. The results obtained are applied to the reduction of nonlinear integral equations of the Fredholm type and first kind.
Hernández, M.A., Salanova, M.A.
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On the convergence of Steffensen-type methods using recurrent functions nonexpansive mappings
Journal of Numerical Analysis and Approximation Theory, 2009 We introduce the new idea of recurrent functions to provide a new semilocal convergence analysis for Steffensen-type methods (STM) in a Banach space setting.
Ioannis K. Argyros, Saïd Hilout
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Convergence estimates for the Magnus expansion I. Banach algebras
, 2019 We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff expansion are also made.
Lakos, Gyula
core
Semilocal Convergence for new Chebyshev-type iterative methods
, 2019 [EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Its semilocal convergence is established using recurrence relations under weaker continuity conditions on first order divided differences.
Kumar, Abhimanyu +4 more
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On an iterative algorithm of Ulm-type for solving equations
Journal of Numerical Analysis and Approximation Theory, 2013 We provide a semilocal convergence analysis of an iterative algorithm for solving nonlinear operator equations in a Banach space setting. This algorithm is of order \(1.839\ldots\), and has already been studied in [3, 8, 18, 20].
Ioannis K. Argyros, Sanjay K. Khattri
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On a third order iterative method for solving polynomial operator equations
Journal of Numerical Analysis and Approximation Theory, 2002 We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree \(2\). The method consists in fact in evaluating the Jacobian at every two steps, and it has the \(r\)-convergence order at least \(3\).
Emil Cătinaş, Ion Păvăloiu
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On the semilocal convergence of derivative free methods for solving nonlinear equations
Journal of Numerical Analysis and Approximation Theory, 2012 We introduce a Derivative Free Method (DFM) for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for DFM using recurrence relations. Numerical examples validating our theoretical results are also provided
Ioannis K. Argyros, Hongmin Ren
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Cubo, 2011 We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The Frechet-derivative of the operator involved is not necessarily continuous invertible. This
Ioannis K Argyros, Saïd Hilout
doaj