Results 261 to 270 of about 12,439,103 (299)

Generalized Nash equilibrium problems and Newton methods

Mathematical Programming, 2007
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Francisco Facchinei, Andreas Fischer 0004, Veronica Piccialli   +2 more
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Remarks on the generalized Newton method

Mathematical Programming, 1993
Let \(H\) be a Hilbert space, \(f: H\to H\) a continuously Gâteaux differentiable function and \(g: H\to H\) a multivalued mapping. For the numerical solution of the problem \(f(u)+ g(u)\ni 0\), the generalized Newton method \(u_{n+1}= (f'(u_ n)+ g)^{-1}(f'(u_ n)[u_ n]- f(u_ n))\) is considered. For the case when \(g\) is the subdifferential mapping of
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Convergence of inexact Newton methods for generalized equations

Mathematical Programming, 2013
For general inclusions of the form ``zero is contained in \(f(x) + F(x)\)'', where \(f\) is a smooth function and \(F\) a set-valued mapping both acting between Banach spaces, the authors study local properties of inexact Newton methods. As main results they get conditions such that the considered iteration sequences have ``no halt'', that means they ...
Asen L. Dontchev, R. Tyrrell Rockafellar
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Generalized Newton-iterative method for semismooth equations

Numerical Algorithms, 2011
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Zhe Sun, Jinping Zeng, Hongru Xu
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Spurious singularities in the generalized Newton variational method

Physical Review A, 1991
The generalized Newton variational method is applied to the static-exchange approximation of the electron--hydrogen-atom scattering. Slater-type basis functions are employed to expand the amplitude density. Spurious singularities are encountered in both scattering processes.
, Apagyi, , Lévay, , Ladányi
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A generalized Newton–Raphson method using curvature

Communications in Numerical Methods in Engineering, 1995
AbstractA numerical method for finding the roots of any function is developed. This method considers a circle using the concept of curvature instead of the tangential line in the Newton‐Raphson method. The compared results between the proposed method and the Newton‐Raphson method are listed.
Lee, IW Lee, In Won, JUNG, GH JUNG, GH
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A Smoothing Newton Method for General Nonlinear Complementarity Problems

Computational Optimization and Applications, 2000
The paper deals with the nonlinear complementarity problem: to find \(x \in \mathbb{R}^n_+\) such that \(F(x) \geq 0\), \(x \geq 0\), \(x^TF(x)=0\), where \(F: \mathbb{R}^n\to \mathbb{R}^n\) is a continuously differentiable function. The authors consider the system: \(H= ( e^{\mu}-1 \Phi_{\mu} (x))^T\), where \(\Phi_{\mu}\) is defined by Kanzow's ...
Houduo Qi, Li-Zhi Liao
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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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