Results 91 to 100 of about 649,766 (178)
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.
Hueso, José L. +4 more
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Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces [PDF]
, 2018 [EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the first-order divided differences
Abhimanyu Kumar +7 more
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Improved semilocal convergence analysis in Banach space with applications to chemistry
, 2018 We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis K +2 more
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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
doaj +2 more sources
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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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
P A RECURRENCE RELATIONS AND SEMILOCAL CONVERGENCE OF A FIFTH ORDER METHOD IN BANACH SPACES
, 2016 : The aim of this article is to study the semilocal convergence of a fifth order method in Banach spaces. Using recurrence relations, we have proved convergence, existence and uniqueness theorem, along with a priori error bounds which shows the R-order ...
Bhavna Panday, §, J P Jaiswal
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Functional Optimization Through Semilocal Approximate Minimization
, 2010 An approach based on semilocal approximation is introduced for the solution of a general class of operations research problems, such as Markovian decision problems, multistage optimal control, and maximum-likelihood estimation.
Cristiano Cervellera +2 more
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, 1980 Semilocal skew group rings R ∗ θ G R{ \ast _\theta }G are investigated. The full characterization is given in the case of algebras over a field of characteristic zero.
Jan Okniński
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