Results 151 to 160 of about 21,430,598 (179)

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. At each iteration of a Newton-type method, the direction of search is defined as the solution of a quadratic subproblem.
openaire   +2 more sources

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.
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

Convergent Newton Method and Neural Network for the Electric Energy Usage Prediction

Information Sciences, 2022
Genaro Ochoa, José de Jesús Rubio, Jaime Pacheco   +2 more
exaly  

Choosing the Forcing Terms in an Inexact Newton Method

SIAM Journal of Scientific Computing, 1996
Homer Franklin Walker, Stanley C. Eisenstat   +1 more
exaly  

Globally Convergent Inexact Newton Methods

SIAM Journal on Optimization, 1994
Homer Franklin Walker, Stanley C. Eisenstat   +1 more
exaly  

A Variant of Newton's Method With Accelerated Third-Order Convergence

Applied Mathematics Letters, 2000
T G I Fernando
exaly  

A Nonsmooth Version of Newton's Method

Mathematical Programming, 1993
Jie Sun, Liqun Qi
exaly  

On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids

IEEE Transactions on Power Systems, 2018
Alejandro Garces
exaly