Results 271 to 280 of about 827,423 (299)

Newton-Type Minimization via the Lanczos Method

SIAM Journal on Numerical Analysis, 1984
This paper discusses the use of the linear conjugate-gradient method (developed via the Lanczos method) in the solution of large-scale unconstrained minimization problems. It is shown how the equivalent Lanczos characterization of the linear conjugate-gradient method may be exploited to define a modified Newton method which can be applied to problems ...
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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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On the Analysis of Semismooth Newton-Type Methods for Composite Optimization

Journal of Scientific Computing
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Jiang Hu, Tonghua Tian, Shaohua Pan 0001, Zaiwen Wen   +3 more
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Infinite-Dimensional Newton-Type Method

2019
This chapter presents two numerical verification methods which are based on some infinite-dimensional fixed-point theorems. The first approach is a technique using sequential iteration. Although this method is simple and can be applied to general nonlinear functional equations in Banach spaces, the relevant compact map has to be retractive in some ...
Mitsuhiro T. Nakao, Michael Plum, Yoshitaka Watanabe   +2 more
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On Quasi‐Newton methods in fast Fourier transform‐based micromechanics

International Journal for Numerical Methods in Engineering, 2020
Daniel Wicht, Matti Schneider, Thomas Böhlke   +2 more
exaly  

Globally Convergent Inexact Newton Methods

SIAM Journal on Optimization, 1994
Stanley C Eisenstat, Homer F Walker
exaly  

Inexact Newton Dogleg Methods

SIAM Journal on Numerical Analysis, 2008
Homer F Walker, John N Shadid
exaly  

Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations

SIAM Review, 2006
John N Shadid, Homer F Walker
exaly  

Numerical Experience with Limited-Memory Quasi-Newton and Truncated Newton Methods

SIAM Journal on Optimization, 1993
Xiaolei Zou, I M Navon, Tamar Schlick
exaly  

Inexact Newton methods for solving nonsmooth equations

Journal of Computational and Applied Mathematics, 1995
J M Martinez, Liqun Qi
exaly