Displaying similar documents to “An Iterative Procedure for Solving Nonsmooth Generalized Equation”

On a secant-like method for solving generalized equations

Ioannis K. Argyros, Said Hilout (2008)

Mathematica Bohemica

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In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.

Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions

Geoffroy, M., Hilout, S., Pietrus, A. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 47H04, 65K10. In this paper we investigate the existence of a sequence (xk ) satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized equation 0 ∈ f (x) + G(x); where f is a function and G is a set-valued map acting in Banach spaces.

A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations

Kyurkchiev, Nikolay, Iliev, Anton (2013)

Serdica Journal of Computing

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In this paper we propose a refinement of some successive overrelaxation methods based on the reverse Gauss–Seidel method for solving a system of linear equations Ax = b by the decomposition A = Tm − Em − Fm, where Tm is a banded matrix of bandwidth 2m + 1. We study the convergence of the methods and give software implementation of algorithms in Mathematica package with numerical examples. ACM Computing Classification System (1998): G.1.3. This paper is partly supported by...

On Kottman's constants in Banach spaces

Jesús M. F. Castillo, Pier Luigi Papini (2011)

Banach Center Publications

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This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.

Self-correcting iterative methods for computing 2 -inverses

Stanimirović, Predrag S. (2003)

Archivum Mathematicum

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In this paper we construct a few iterative processes for computing { 2 } -inverses of a linear bounded operator. These algorithms are extensions of the corresponding algorithms introduced in [11] and a method from [8]. A few error estimates are derived.