Parallel regularized Newton method for nonlinear ill-posed equations

被引：0

作者：

Pham Ky Anh

Cao Van Chung

机构：

[1] Vietnam National University,Department of Mathematics

来源：

Numerical Algorithms | 2011年 / 58卷

关键词：

Monotone operator; Regularized Newton method; Parallel splitting-up technique; 47J06; 47J25; 65J15; 65J20; 65Y05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a regularized Newton method coupled with the parallel splitting-up technique for solving nonlinear ill-posed equations with smooth monotone operators. We analyze the convergence of the proposed method and carry out numerical experiments for nonlinear integral equations.

引用

页码：379 / 398

页数：19

共 50 条

[1] Parallel regularized Newton method for nonlinear ill-posed equations
Pham Ky Anh
Cao Van Chung
[J]. NUMERICAL ALGORITHMS, 2011, 58 (03) : 379 - 398
[2] Parallel iteratively regularized Gauss-Newton method for systems of nonlinear ill-posed equations
Pham Ky Anh
Vu Tien Dzung
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (11) : 2452 - 2461
[3] A Modification of Regularized Newton-Type Method for Nonlinear Ill-Posed Problems
Meng, Ze-hong
Zhao, Zhen-yu
He, Guo-qiang
[J]. HIGH PERFORMANCE COMPUTING AND APPLICATIONS, 2010, 5938 : 295 - +
[4] On convergence of regularized modified Newton's method for nonlinear ill-posed problems
George, Santhosh
[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2010, 18 (02): : 133 - 146
[5] An iteratively regularized Gauss–Newton–Halley method for solving nonlinear ill-posed problems
Barbara Kaltenbacher
[J]. Numerische Mathematik, 2015, 131 : 33 - 57
[6] On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
Jin, QN
[J]. MATHEMATICS OF COMPUTATION, 2000, 69 (232) : 1603 - 1623
[7] An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems
Kaltenbacher, Barbara
[J]. NUMERISCHE MATHEMATIK, 2015, 131 (01) : 33 - 57
[8] A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations
Robert Plato
Bernd Hofmann
[J]. Journal of Optimization Theory and Applications, 2019, 182 : 525 - 539
[9] A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations
Plato, Robert
Hofmann, Bernd
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 182 (02) : 525 - 539
[10] A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems
Long, Haie
Han, Bo
Tong, Shanshan
[J]. APPLIED NUMERICAL MATHEMATICS, 2020, 151 : 301 - 321

← 1 2 3 4 5 →