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Volume 12, Issue 2
Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems

Gui-Lin Yan, Yu-Jiang Wu, Ai-Li Yang & Sulieman A. S. Jomah

East Asian J. Appl. Math., 12 (2022), pp. 449-469.

Published online: 2022-02

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  • Abstract

Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit fixed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of $H_+$ system matrices. Numerical results confirm the efficiency of the methods proposed.

  • AMS Subject Headings

65M10, 78A48

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-12-449, author = {Yan , Gui-LinWu , Yu-JiangYang , Ai-Li and Jomah , Sulieman A. S.}, title = {Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {2}, pages = {449--469}, abstract = {

Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit fixed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of $H_+$ system matrices. Numerical results confirm the efficiency of the methods proposed.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.200721.250122}, url = {http://global-sci.org/intro/article_detail/eajam/20264.html} }
TY - JOUR T1 - Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems AU - Yan , Gui-Lin AU - Wu , Yu-Jiang AU - Yang , Ai-Li AU - Jomah , Sulieman A. S. JO - East Asian Journal on Applied Mathematics VL - 2 SP - 449 EP - 469 PY - 2022 DA - 2022/02 SN - 12 DO - http://doi.org/10.4208/eajam.200721.250122 UR - https://global-sci.org/intro/article_detail/eajam/20264.html KW - Nonlinear complementarity problem, two-step modulus-based synchronous multisplitting, iteration method, $H_+$-matrix, $H$-splitting. AB -

Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit fixed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of $H_+$ system matrices. Numerical results confirm the efficiency of the methods proposed.

Gui-Lin Yan, Yu-Jiang Wu, Ai-Li Yang & Sulieman A. S. Jomah. (2022). Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems. East Asian Journal on Applied Mathematics. 12 (2). 449-469. doi:10.4208/eajam.200721.250122
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