{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T16:33:10Z","timestamp":1649003590331},"reference-count":16,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100009998","name":"National Nature Science Projects of China","doi-asserted-by":"crossref","award":["11161014"],"award-info":[{"award-number":["11161014"]}],"id":[{"id":"10.13039\/501100009998","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The preconditioner presented by Hadjidimos et al. (2003) can improve on the convergence rate of the classical iterative methods to solve linear systems. In this paper, we extend this preconditioner to solve linear complementarity problems whose coefficient matrix is<jats:italic>M<\/jats:italic>-matrix or<jats:italic>H<\/jats:italic>-matrix and present a multisplitting and Schwarz method. The convergence theorems are given. The numerical experiments show that the methods are efficient.<\/jats:p>","DOI":"10.1155\/2014\/519017","type":"journal-article","created":{"date-parts":[[2014,6,23]],"date-time":"2014-06-23T21:05:34Z","timestamp":1403557534000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["A Preconditioned Multisplitting and Schwarz Method for Linear Complementarity Problem"],"prefix":"10.1155","volume":"2014","author":[{"given":"Cuiyu","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chen-liang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(96)00172-1"},{"key":"7","year":"1992"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s11766-997-0044-5"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01268170"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1080\/00207169708804569"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/00207160211927"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9566-x"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-006-0351-2"},{"issue":"5","key":"12","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.1137\/0329057","volume":"29","year":"1991","journal-title":"SIAM Journal on Control and Optimization"},{"issue":"2","key":"13","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0377-0427(94)00103-2","volume":"62","year":"1995","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9664-9"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(02)00570-0"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(87)90321-1"},{"key":"11","doi-asserted-by":"crossref","first-page":"94","DOI":"10.4208\/eajam.050911.060412a","volume":"2","year":"2012","journal-title":"East Asian Journal on Applied Mathematics"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)00164-2"},{"key":"6","year":"1979"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/519017.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/519017.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/519017.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,12]],"date-time":"2020-05-12T01:12:30Z","timestamp":1589245950000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/519017\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":16,"alternative-id":["519017","519017"],"URL":"https:\/\/doi.org\/10.1155\/2014\/519017","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}