Some Results on Parallel Alternating Iterative Method for the Linear Complementarity Problem

By combining alternating iterative algorithm and parallel multi-splitting, the authors set up parallel alternating iterative algorithm for solving the linear complementarity problem. It is shown that when the multi-splittings of matrix are weak nonnegative of the first type or the second type, the p...

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Bibliographic Details
Main Authors: Guangbin Wang, Fuping Tan, Deyu Sun
Format: บทความวารสาร
Language:English
Published: Science Faculty of Chiang Mai University 2019
Online Access:http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8502
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63991
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Institution: Chiang Mai University
Language: English
Description
Summary:By combining alternating iterative algorithm and parallel multi-splitting, the authors set up parallel alternating iterative algorithm for solving the linear complementarity problem. It is shown that when the multi-splittings of matrix are weak nonnegative of the first type or the second type, the parallel alternating iterative algorithm is convergent. Moreover, the algorithm is also convergent when the multi-splittings are P-regular. Finally, one numerical example is given.