Results 91 to 100 of about 677,232 (187)
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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A unified convergence analysis for secant-type methods
, 2014 We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis Konstantinos +1 more
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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
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Convergence of Newton’s method under the gamma condition
, 2017 We provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the ...
Argyros, Ioannis K.
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Gauss-Newton method for convex composite optimization
, 2018 Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"In this chapter we extend the solvability of convex composite optimization problems using Gauss–Newton method.
Argyros, Ioannis K +4 more
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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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Local convergence of Newton's method using Kantorovich convex majorants
Journal of Numerical Analysis and Approximation Theory, 2010 We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the
Ioannis K. Argyros
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Semilocal convergence of Newton-like methods under general conditions with applications in fractional calculus [PDF]
, 2015 We present a semilocal convergence study of Newton-like methods on a generalized Banach space setting to approximate a locally unique zero of an operator.
Ioannis K. Argyros +1 more
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On properties of geodesic semilocal E-preinvex functions
, 2018 The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are ...
Wedad Saleh +3 more
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