inexact newton methods Latest Research Papers

A hybrid-line-and-curve search globalization technique for inexact Newton methods

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.11.011 ◽

2021 ◽

Author(s):

Shang-Rong Cai ◽

Feng-Nan Hwang

Keyword(s):

Newton Methods ◽

Hybrid Line ◽

Inexact Newton Methods

Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2019105 ◽

2021 ◽

Vol 17 (1) ◽

pp. 169-184

Author(s):

Wei Ouyang ◽

◽

Li Li ◽

Keyword(s):

Convergence Analysis ◽

Newton Methods ◽

Metric Subregularity ◽

Inexact Newton Methods ◽

Strong Metric Subregularity

Ball convergence theorem for inexact Newton methods in Banach space

Creative Mathematics and Informatics ◽

10.37193/cmi.2020.02.01 ◽

2020 ◽

Vol 29 (2) ◽

pp. 113-120

Author(s):

IOANNIS K. ARGYROS ◽

GEORGE SANTHOSH

Keyword(s):

Banach Space ◽

Nonlinear Equation ◽

Convergence Theorem ◽

Local Convergence ◽

Newton Methods ◽

Convergence Conditions ◽

Inexact Newton Methods ◽

Numerical Examples ◽

Ball Convergence ◽

Local Convergence Analysis

We present a local convergence analysis for inexact Newton methods in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frèchet-derivative of the operator involved. Numerical examples are also provided in this study.

Regularization Method for the Clarke’s Generalized Jacobian to Ensure the Formation of Nonsingular Systems for Inexact Newton Methods

2020 IEEE 11th International Conference on Dependable Systems, Services and Technologies (DESSERT) ◽

10.1109/dessert50317.2020.9125035 ◽

2020 ◽

Author(s):

Sergii Saukh

Keyword(s):

Regularization Method ◽

Newton Methods ◽

Generalized Jacobian ◽

Inexact Newton Methods ◽

Clarke’S Generalized Jacobian

Expanding the applicability of inexact Newton methods using restricted convergence domains

Applicationes Mathematicae ◽

10.4064/am2292-3-2016 ◽

2017 ◽

Vol 44 (1) ◽

pp. 123-133

Author(s):

Ioannis K. Argyros ◽

Santhosh George

Keyword(s):

Newton Methods ◽

Inexact Newton Methods

Inexact Newton Methods on Riemannian Manifolds

SEMA SIMAI Springer Series - Advances in Iterative Methods for Nonlinear Equations ◽

10.1007/978-3-319-39228-8_4 ◽

2016 ◽

pp. 57-78

Author(s):

I. K. Argyros ◽

Á. A. Magreñán

Keyword(s):

Riemannian Manifolds ◽

Newton Methods ◽

Inexact Newton Methods

Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations

SIAM Journal on Control and Optimization ◽

10.1137/140969476 ◽

2015 ◽

Vol 53 (2) ◽

pp. 1003-1019 ◽

Cited By ~ 11

Author(s):

R. Cibulka ◽

A. Dontchev ◽

M. H. Geoffroy

Keyword(s):

Generalized Equations ◽

Newton Methods ◽

Inexact Newton Methods

On the Convergence of Inexact Newton Methods

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_35 ◽

2014 ◽

pp. 355-363 ◽

Cited By ~ 1

Author(s):

Reijer Idema ◽

Domenico Lahaye ◽

Cornelis Vuik

Keyword(s):

Newton Methods ◽

Inexact Newton Methods

Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems

Optimization Methods and Software ◽

10.1080/10556788.2014.908878 ◽

2014 ◽

Vol 30 (2) ◽

pp. 301-322 ◽

Cited By ~ 4

Author(s):

L. Bergamaschi ◽

A. Martínez

Keyword(s):

Eigenvalue Problems ◽

Newton Methods ◽

Inexact Newton Methods ◽

Symmetric Eigenvalue Problems

Weaker Kantorovich type criteria for inexact Newton methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.10.048 ◽

2014 ◽

Vol 261 ◽

pp. 103-117 ◽

Cited By ~ 4

Author(s):

I.K. Argyros ◽

S.K. Khattri

Keyword(s):

Newton Methods ◽

Inexact Newton Methods

inexact newton methods
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

A hybrid-line-and-curve search globalization technique for inexact Newton methods

Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods

Ball convergence theorem for inexact Newton methods in Banach space

Regularization Method for the Clarke’s Generalized Jacobian to Ensure the Formation of Nonsingular Systems for Inexact Newton Methods

Expanding the applicability of inexact Newton methods using restricted convergence domains

Inexact Newton Methods on Riemannian Manifolds

Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations

On the Convergence of Inexact Newton Methods

Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems

Weaker Kantorovich type criteria for inexact Newton methods

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inexact newton methodsRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

A hybrid-line-and-curve search globalization technique for inexact Newton methods

Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods

Ball convergence theorem for inexact Newton methods in Banach space

Regularization Method for the Clarke’s Generalized Jacobian to Ensure the Formation of Nonsingular Systems for Inexact Newton Methods

Expanding the applicability of inexact Newton methods using restricted convergence domains

Inexact Newton Methods on Riemannian Manifolds

Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations

On the Convergence of Inexact Newton Methods

Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems

Weaker Kantorovich type criteria for inexact Newton methods

inexact newton methods
Recently Published Documents