Results 11  20
of
168,343
The Behavior of Newtontype Methods on Two Equivalent Systems from Linear Programming
, 1998
"... Newtontype methods are fundamental techniques for solving systems of nonlinear equations. However, it is often not fully appreciated that these methods can produce significantly different behavior when applied to equivalent systems. In this paper, we investigate differences in local and global beha ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Newtontype methods are fundamental techniques for solving systems of nonlinear equations. However, it is often not fully appreciated that these methods can produce significantly different behavior when applied to equivalent systems. In this paper, we investigate differences in local and global
ON THE RADIUS OF CONVERGENCE OF SOME NEWTON–TYPE METHODS IN BANACH SPACES
"... Abstract. We determine the radius of convergence for some Newton–type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton’s method (NM). Numerical examples further validating the theoretical r ..."
Abstract
 Add to MetaCart
Abstract. We determine the radius of convergence for some Newton–type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton’s method (NM). Numerical examples further validating the theoretical
A NEWTONTYPE METHOD AND ITS APPLICATION
, 2006
"... We prove an existence and uniqueness theorem for solving the operator equation F(x) + G(x) = 0, where F is a continuous and Gâteaux differentiable operator and the operator G satisfies Lipschitz condition on an open convex subset of a Banach space. As corollaries, a recent theorem of Argyros (2003) ..."
Abstract
 Add to MetaCart
) and the classical convergence theorem for modified Newton iterates are deduced. We further obtain an existence theorem for a class of nonlinear functional integral equations involving the Urysohn operator. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1.
Essential Matrix Estimation via Newtontype Methods
 Proceedings of the 16th International Conference of Mathematical Theory of Networks and Systems
, 2004
"... In this paper camera parameters are assumed to be known and a novel approach for essential matrix estimation is presented. We estimate the essential matrix from point correspondences between a stereo image pair. The technical approach we take is a generalization of the classical Newton method. It is ..."
Abstract

Cited by 9 (5 self)
 Add to MetaCart
In this paper camera parameters are assumed to be known and a novel approach for essential matrix estimation is presented. We estimate the essential matrix from point correspondences between a stereo image pair. The technical approach we take is a generalization of the classical Newton method
An Inexact NewtonType Method for Inverse Singular Value Problems
, 2008
"... In this paper, an inexact Newtontype approach is proposed for solving inverse singular value problems. We show that the method converges superlinearly. This method can reduce significantly the oversolving problem of the Newtontype method and improve the efficiency. Numerical experiments is also pr ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
In this paper, an inexact Newtontype approach is proposed for solving inverse singular value problems. We show that the method converges superlinearly. This method can reduce significantly the oversolving problem of the Newtontype method and improve the efficiency. Numerical experiments is also
CommunicationEfficient Distributed Optimization using an Approximate Newtontype Method
"... We present a novel Newtontype method for distributed optimization, which is particularly well suited for stochastic optimization and learning problems. For quadratic objectives, the method enjoys a linear rate of convergence which provably improves with the data size, requiring an essentially con ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We present a novel Newtontype method for distributed optimization, which is particularly well suited for stochastic optimization and learning problems. For quadratic objectives, the method enjoys a linear rate of convergence which provably improves with the data size, requiring an essentially
A new class of semismooth Newtontype methods for nonlinear complementarity problems
 Computational Optimization and Applications
, 1998
"... Abstract: We introduce a new, oneparametric class of NCPfunctions. This class subsumes the Fischer function and reduces to the minimum function in a limiting case of the parameter. This new class of NCPfunctions is used in order to reformulate the nonlinear complementarity problem as a nonsmooth ..."
Abstract

Cited by 33 (7 self)
 Add to MetaCart
nonsmooth system of equations. We present a detailed investigation of the properties of the equation operator, of the corresponding merit function as well as of a suitable semismooth Newtontype method. Finally, numerical results are presented for this method being applied to a number of test problems.
A QPfree constrained Newtontype method for variational inequality problems
 MATHEMATICAL PROGRAMMING
, 1997
"... We consider a simply constrained optimization reformulation of the KarushKuhnTucker conditions arising from variational inequalities. Based on this reformulation, we present a new Newtontype method for the solution of variational inequalities. The main properties of this method are: (a) it is wel ..."
Abstract

Cited by 28 (7 self)
 Add to MetaCart
We consider a simply constrained optimization reformulation of the KarushKuhnTucker conditions arising from variational inequalities. Based on this reformulation, we present a new Newtontype method for the solution of variational inequalities. The main properties of this method are: (a
REGULARIZED RECURSIVE NEWTONTYPE METHODS FOR INVERSE SCATTERING PROBLEMS USING MULTIFREQUENCY MEASUREMENTS ∗, ∗∗
"... Regularized recursive Newtontype methods for inverse scattering problems using multifrequency measurements ..."
Abstract
 Add to MetaCart
Regularized recursive Newtontype methods for inverse scattering problems using multifrequency measurements
Examples of dual behaviour of Newtontype methods on optimization problems with degenerate constraints
 Computational Optimization and Applications
"... discuss possible scenarios of behaviour of the dual part of sequences generated by primaldual Newtontype methods when applied to optimization problems with nonunique multipliers associated to a solution. Those scenarios are: (a) failure of convergence of the dual sequence; (b) convergence to a so ..."
Abstract

Cited by 12 (9 self)
 Add to MetaCart
discuss possible scenarios of behaviour of the dual part of sequences generated by primaldual Newtontype methods when applied to optimization problems with nonunique multipliers associated to a solution. Those scenarios are: (a) failure of convergence of the dual sequence; (b) convergence to a so
Results 11  20
of
168,343