Globally Convergent Inexact Newton Methods

Stanley C. Eisenstat; Homer F. Walker

doi:10.1137/0804022

Globally Convergent Inexact Newton Methods

SIAM Journal on Optimization ◽

10.1137/0804022 ◽

1994 ◽

Vol 4 (2) ◽

pp. 393-422 ◽

Cited By ~ 274

Author(s):

Stanley C. Eisenstat ◽

Homer F. Walker

Keyword(s):

Newton Methods ◽

Inexact Newton Methods ◽

Globally Convergent

Globally convergent Jacobian smoothing inexact Newton methods for NCP

Computational Optimization and Applications ◽

10.1007/s10589-007-9104-2 ◽

2007 ◽

Vol 41 (2) ◽

pp. 243-261 ◽

Cited By ~ 14

Author(s):

Nataša Krejić ◽

Sanja Rapajić

Keyword(s):

Newton Methods ◽

Inexact Newton Methods ◽

Globally Convergent

Simulation of Elastoplastic Forming Processes Using Overlapping Domain Decomposition and Inexact Newton Methods

IUTAM BookSeries - IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media ◽

10.1007/978-1-4020-9090-5_14 ◽

2008 ◽

pp. 155-164 ◽

Cited By ~ 1

Author(s):

Stephan Brunssen ◽

Corinna Hager ◽

Florian Schmid ◽

Barbara Wohlmuth

Keyword(s):

Domain Decomposition ◽

Newton Methods ◽

Inexact Newton Methods ◽

Overlapping Domain Decomposition

Inexact Newton Methods and Mixed Nonlinear Complementary Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/3-540-45262-1_11 ◽

2001 ◽

pp. 84-92

Author(s):

L. Bergamaschi ◽

G. Zilli

Keyword(s):

Newton Methods ◽

Inexact Newton Methods ◽

Complementary Problems

A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(99)00091-7 ◽

1999 ◽

Vol 37 (7) ◽

pp. 109-115 ◽

Cited By ~ 15

Author(s):

I.K. Argyros

Keyword(s):

Convergence Theorem ◽

Fréchet Derivative ◽

Newton Methods ◽

Inexact Newton Methods ◽

Frechet Derivative

Convergence of inexact Newton methods for generalized equations

Mathematical Programming ◽

10.1007/s10107-013-0664-x ◽

2013 ◽

Vol 139 (1-2) ◽

pp. 115-137 ◽

Cited By ~ 22

Author(s):

A. L. Dontchev ◽

R. T. Rockafellar

Keyword(s):

Generalized Equations ◽

Newton Methods ◽

Inexact Newton Methods

A convergence theorem for the inexact Newton methods based on Hlder continuous Fréchet derivative

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.07.084 ◽

2008 ◽

Vol 197 (1) ◽

pp. 206-211 ◽

Cited By ~ 1

Author(s):

Jiali Zhou ◽

Shuyou Zhang ◽

Guoping Yang ◽

Jianrong Tan

Keyword(s):

Convergence Theorem ◽

Fréchet Derivative ◽

Newton Methods ◽

Inexact Newton Methods ◽

Frechet Derivative

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

SIAM Journal on Numerical Analysis ◽

10.1137/0719025 ◽

1982 ◽

Vol 19 (2) ◽

pp. 400-408 ◽

Cited By ~ 961

Author(s):

Ron S. Dembo ◽

Stanley C. Eisenstat ◽

Trond Steihaug

Keyword(s):

Newton Methods ◽

Inexact Newton Methods

Convergence behaviour of inexact Newton methods under weak Lipschitz condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.03.076 ◽

2006 ◽

Vol 191 (1) ◽

pp. 143-164 ◽

Cited By ~ 34

Author(s):

Jinhai Chen ◽

Weiguo Li

Keyword(s):

Lipschitz Condition ◽

Newton Methods ◽

Inexact Newton Methods ◽

Convergence Behaviour

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