Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods

G. Yu. Kulikov

doi:10.1007/bf02311252

Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods

Mathematical Notes ◽

10.1007/bf02311252 ◽

1998 ◽

Vol 63 (4) ◽

pp. 494-502

Author(s):

G. Yu. Kulikov

Keyword(s):

Error Estimates ◽

Newton Methods ◽

Simple Iteration ◽

Asymptotic Error ◽

Generalized Newton Methods ◽

Generalized Newton ◽

Method Of Simple Iteration

Approximations and generalized Newton methods

Mathematical Programming ◽

10.1007/s10107-017-1194-8 ◽

2017 ◽

Vol 168 (1-2) ◽

pp. 673-716 ◽

Cited By ~ 5

Author(s):

Diethard Klatte ◽

Bernd Kummer

Keyword(s):

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

On the convergence of generalized Newton methods and implicit functions

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90019-t ◽

1992 ◽

Vol 43 (3) ◽

pp. 335-342 ◽

Cited By ~ 4

Author(s):

Ioannis K. Argyros

Keyword(s):

Newton Methods ◽

Implicit Functions ◽

Generalized Newton Methods ◽

Generalized Newton

Inexact generalized Newton methods for second order C-differentiable optimization

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00064-8 ◽

1998 ◽

Vol 93 (2) ◽

pp. 107-122 ◽

Cited By ~ 6

Author(s):

Dingguo Pu ◽

Jianzhong Zhang

Keyword(s):

Second Order ◽

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

Correction to: Approximations and generalized Newton methods

Mathematical Programming ◽

10.1007/s10107-019-01436-6 ◽

2019 ◽

Vol 179 (1-2) ◽

pp. 469-471

Author(s):

Diethard Klatte ◽

Bernd Kummer

Keyword(s):

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

False Numerical Convergence in Some Generalized Newton Methods

Nonconvex Optimization and Its Applications - Equilibrium Problems and Variational Models ◽

10.1007/978-1-4613-0239-1_22 ◽

2003 ◽

pp. 401-416 ◽

Cited By ~ 1

Author(s):

Stephen M. Robinson

Keyword(s):

Newton Methods ◽

Numerical Convergence ◽

Generalized Newton Methods ◽

Generalized Newton

Generalized Newton methods for the 2D-Signorini contact problem with friction in function space

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005036 ◽

2005 ◽

Vol 39 (4) ◽

pp. 827-854 ◽

Cited By ~ 31

Author(s):

Karl Kunisch ◽

Georg Stadler

Keyword(s):

Contact Problem ◽

Function Space ◽

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton ◽

Signorini Contact

Generalized Newton methods for energy formulations in image procesing

2008 15th IEEE International Conference on Image Processing ◽

10.1109/icip.2008.4711878 ◽

2008 ◽

Cited By ~ 1

Author(s):

Leah Bar ◽

Guillermo Sapiro

Keyword(s):

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

Generalized Newton methods for crack problems with nonpenetration condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20053 ◽

2004 ◽

Vol 21 (3) ◽

pp. 586-610 ◽

Cited By ~ 8

Author(s):

M. Hintermüller ◽

V. A. Kovtunenko ◽

K. Kunisch

Keyword(s):

Newton Methods ◽

Nonpenetration Condition ◽

Crack Problems ◽

Generalized Newton Methods ◽

Generalized Newton

Regular Pseudo-Smooth NCP and BVIP Functions and Globally and Quadratically Convergent Generalized Newton Methods for Complementarity and Variational Inequality Problems

Mathematics of Operations Research ◽

10.1287/moor.24.2.440 ◽

1999 ◽

Vol 24 (2) ◽

pp. 440-471 ◽

Cited By ~ 24

Author(s):

Liqun Qi

Keyword(s):

Variational Inequality ◽

Variational Inequality Problems ◽

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

Generalized Newton methods for graph signal matrix completion

Digital Signal Processing ◽

10.1016/j.dsp.2021.103009 ◽

2021 ◽

Vol 112 ◽

pp. 103009

Author(s):

Jinling Liu ◽

Junzheng Jiang ◽

Jiming Lin ◽

Junyi Wang

Keyword(s):

Matrix Completion ◽

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton