Izmailov, A.F., Solodov, M.V.: Newton-type methods: a broader view. J. Optim. Theory Appl. 164 , 577–620 (2015) MATH MathSciNetIzmailov AF, Solodov MV (2015) Newton-type methods: a broader view. J Optim Theory Appl 164:577-620...
Newton-type MethodsNewton-type Methodsdoi:10.1002/9780470400531.eorms0569We provide a new semilocal convergence analysis for Newton-type methods. It turns out that our sufficient convergence conditions are weaker, and the error bounds are tighter in some cases than in earlier studies [10]-[27]. ...
W. (2017). Newton-type methods for non-convex optimization under inexact hessian information. arXiv: 1708.07164.P. Xu, F. Roosta-Khorasani, and M. W. Mahoney. Newton-type methods for non-convex optimization under inexact Hessian information. arXiv:1708.07164v3, 2017....
Iusem A N,Solodov M V.Nowton-type methods with generalized distances for constrained optimization. Optimization . 1997A.N. Iusem and M.V. Solodov. Newton-type methods with generalized distances for constrained optimization. Optimization, 41:257-278, 1997....
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On a general iterative scheme for Newton-type methods - Moret - 1987 () Citation Context ...ds for Newton’s method were refined in a series of papers including [22–24, 36, 39, 53–55]. Various extensions of the Kantorovich Theorem have been used to obtain error bounds for Newton-...
We describe Gauss-Newton type methods for,tting im-plicitly de,ned curves and surfaces to given unorganized data points.The methods are suitable not only for least-squares approximation,but they can also deal with gen-eral error functions,such as approximations to theℓ1 orℓnorm of the ve...
the finite element discretization of the incompressible steady-state navier-stokes equations yields a non-linear problem, due to the convective terms in the momentum equations. several methods may be used to solve this non-linear problem. in this work we
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems We introduce a new, one-parametric class of NCP-functions. This class subsumes the Fischer function and reduces to the minimum function in a limiting case ... C Kanzow,H Kleinmichel - 《Computational Optimization...
We solve these problems by developing Newton-type methods that outperform the state-of-the-art algorithms. More importantly, our 1D-TV algorithms serve as building blocks for solving the harder task of computing 2- (and higher-dimensional TV proximity. We illustrate the computational benefits of ...