Method of alternating projections for the general absolute value equation

被引：15

作者：

Alcantara, Jan Harold ^{[1
]}

Chen, Jein-Shan ^{[2
]}

Tam, Matthew K. ^{[3
]}

机构：

[1] Acad Sinica, Inst Stat Sci, Taipei 11529, Taiwan

[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan

[3] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Absolute value equation; alternating projections; fixed point sets; ITERATION METHOD; PROXIMAL ALGORITHMS; DOUGLAS-RACHFORD; NEWTON METHOD; CONVERGENCE; COMPLEMENTARITY; CONSTRUCTION;

D O I：

10.1007/s11784-022-01026-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in groundwater resources of Iranshahr using Monte Carlo simulation and geographic information system (GIS). MethodsX, 6 , 1812-1821. Soleimani, H., Nasri, O., Ghoochani, M., Azhdarpoor, A., Dehghani, M., Radfard, M. ... & Heydari, M. (2020). Groundwater quality evaluation and risk assessment of nitrate using monte carlo simulation and sensitivity analysis in rural areas of Divandarreh County, Kurdistan province, Iran. Int J Environ Anal Chem 1-19. to jurisdictional claims in affiliations. Springer Nature or its licensor holds exclusive rights to agreement with the author(s) self-archiving of the accepted is solely governed by the terms and applicable law.

引用

页数：38

共 40 条

[1] Solving absolute value equation using complementarity and smoothing functions [J].

Abdallah, L. ;

Haddou, M. ;

Migot, T. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 327 :196-207

[2] A novel generalization of the natural residual function and a neural network approach for the NCP [J].

Alcantara, Jan Harold ;

Chen, Jein-Shan .

NEUROCOMPUTING, 2020, 413 :368-382

[3] On construction of new NCP functions [J].

Alcantara, Jan Harold ;

Lee, Chen-Han ;

Chieu Thanh Nguyen ;

Chang, Yu-Lin ;

Chen, Jein-Shan .

OPERATIONS RESEARCH LETTERS, 2020, 48 (02) :115-121

[4] Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods [J].

Attouch, Hedy ;

Bolte, Jerome ;

Svaiter, Benar Fux .

MATHEMATICAL PROGRAMMING, 2013, 137 (1-2) :91-129

[5] On the local convergence of the Douglas-Rachford algorithm [J].

Bauschke, H. H. ;

Noll, D. .

ARCHIV DER MATHEMATIK, 2014, 102 (06) :589-600

[6] Reflection-projection method for convex feasibility problems with an obtuse cone [J].

Bauschke, HH ;

Kruk, SG .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 120 (03) :503-531

[7] On the global convergence of the inexact semi-smooth Newton method for absolute value equation [J].

Bello Cruz, J. Y. ;

Ferreira, O. P. ;

Prudente, L. F. .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 65 (01) :93-108

[8]

Bregman L.M., 1965, Dokl. Akad. Nauk. SSSR, V162, P688

[9] A globally and quadratically convergent method for absolute value equations [J].

Caccetta, Louis ;

Qu, Biao ;

Zhou, Guanglu .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 48 (01) :45-58

[10]

Chen CR, 2021, Arxiv, DOI arXiv:2103.09398

← 1 2 3 4 →