Newton-Type Method for Solving Systems of Linear Equations and Inequalities

被引：0

作者：

A. I. Golikov

Yu. G. Evtushenko

I. E. Kaporin

机构：

[1] Dorodnitsyn Computing Center,

[2] Federal Research Center “Computer Science and Control,undefined

[3] ” Russian Academy of Sciences,undefined

[4] Moscow Institute of Physics and Technology (National Research University),undefined

来源：

Computational Mathematics and Mathematical Physics | 2019年 / 59卷

关键词：

systems of linear equations and inequalities; regularization; penalty function method; duality; projection of a point; piecewise quadratic function; Newton’s method; preconditioned conjugate gradient method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：2017 / 2032

页数：15

共 50 条

[31] Newton-type methods for solving nonlinear equations on quadratic matrix groups
Lopez, L
Mastroserio, C
Politi, T
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 115 (1-2) : 357 - 368
[32] An interior point method for solving systems of linear equations and inequalities
Kallio, M
Salo, S
OPERATIONS RESEARCH LETTERS, 2000, 27 (03) : 101 - 107
[33] Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach
Argyros, Ioannis K.
Shakhno, Stepan
Regmi, Samundra
Yarmola, Halyna
SYMMETRY-BASEL, 2023, 15 (01):
[34] On the convergence of extended Newton-type method for solving variational inclusions
Rashid, M. H.
COGENT MATHEMATICS, 2014, 1
[35] Finite termination and global monotonicity of Newton-type methods for solving hybrid piecewise linear systems
Chen, Jinhai
Agarwal, Ravi P.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (12) : 2236 - 2247
[36] A family of Newton-type methods with seventh and eighth-order of convergence for solving systems of nonlinear equations
Zhanlav, Tugal
Mijiddorj, Renchin-Ochir
Otgondorj, Khuder
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (04): : 1006 - 1021
[37] Convergence analysis of a variant of Newton-type method for generalized equations
Rashid, M. H.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (03) : 584 - 600
[38] A dimension expanded Newton-type method for absolute value equations
Luo, Wei-Hua
Guo, Jun
Yin, Liang
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (04) : 3219 - 3233
[39] Derivative free Newton-type method for fuzzy nonlinear equations
Aal, Mohammad Abdel
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 34 (03): : 234 - 242
[40] Newton-type methods for quasidifferentiable equations
Zhang, LW
Xia, ZQ
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 108 (02) : 439 - 456

← 1 2 3 4 5 →