Results 271 to 280 of about 12,109 (301)

A Generalized Univariate Newton Method Motivated by Proximal Regularization

Journal of Optimization Theory and Applications, 2012
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Regina Sandra Burachik, C. Yalçin Kaya, Shoham Sabach   +2 more
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Newton's method and quasi-Newton—SQP method for general LC1 constrained optimization

Applied Mathematics and Computation, 1998
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Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces

Applied Mathematics and Computation, 1996
[For part I see ibid. 74, No. 2-3, 119-141 (1996; reviewed above).] The author continues to concern himself with approximating a locally unique solution of a nonlinear operator equation in a generalized Banach space. He provides convergence results and error estimates for perturbed Newton-like methods, which generate an iteration that converges to a ...
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Rate of convergence of a generalization of Newton's method

Journal of Optimization Theory and Applications, 1993
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Benadada, Y., Crouzeix, J. P., Ferland, J. A.   +2 more
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A generalized Newton method for absolute value equations

Optimization Letters, 2008
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On a general iterative scheme for newton-type methods

Numerical Functional Analysis and Optimization, 1988
A class of Newton-type iterative processes for solving nonlinear operator equations in Banach spaces is described by a general scheme, in which the approximate inverses of the derivatives are obtained recursively. Convergence conditions as well as error estimates are given. Some particular cases are finally discussed.
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Generalized Stirling-Newton Methods

1976
In this contribution we generalize Newton’s method and related methods for the solution of fixed point problems. We replace the linear approximations to a given nonlinear operator which result from differentiability assumptions by arbitrary “tangent” mappings. Therefore our iteration algorithms apply to nondifferentiable operators.
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A Modified Generalized Newton Method for Absolute Value Equations

Journal of Optimization Theory and Applications, 2016
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Newton's method in generalized banach spaces

Numerical Functional Analysis and Optimization, 1987
A Kantorowitsch-analysis of Newton's method in generalized Banach spaces is given. The application of generalized norms – mappings from a linear space into a partially ordered Banach space - improves convergence results and error estimatescompared with the real norm theory.
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Generalized Newton-Raphson method (GNR)

International journal of mathematical sciences, 2012
We present a new method for solving a non-linear equation f(x)=0. The presented method is quadratically convergent, it converges faster than the classical Newton-Raphson method and the Newton- Raphson method appears as the limiting case of the presented method.
Sandrić, Nikola, Viher, Radimir
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