{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T18:54:46Z","timestamp":1648839286570},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2006,3]]},"abstract":"<jats:p> In this paper, by using a modified smoothing function, we propose a new continuation method for complementarity problems with R<jats:sub>0<\/jats:sub>-function and P<jats:sub>0<\/jats:sub>-function in the absence of strict complementarity. At each iteration, the continuation method solves one linear system of equations and performs one line search. When the underlying mapping is both a P<jats:sub>0<\/jats:sub>-function and a R<jats:sub>0<\/jats:sub>-function and its Hessian is Lipschitz continuous, we prove the global convergence of the new method. The new method also has global Q-linear and local Q-quadratical convergence rates under the same conditions. <\/jats:p>","DOI":"10.1142\/s0217595906000838","type":"journal-article","created":{"date-parts":[[2006,3,14]],"date-time":"2006-03-14T05:16:24Z","timestamp":1142313384000},"page":"107-122","source":"Crossref","is-referenced-by-count":2,"title":["NON-INTERIOR CONTINUATION METHOD FOR COMPLEMENTARITY PROBLEMS IN ABSENCE OF STRICT COMPLEMENTARITY"],"prefix":"10.1142","volume":"23","author":[{"given":"MIN","family":"SUN","sequence":"first","affiliation":[{"name":"Department of Mathematics and Information Science, Zaozhuang University, Zaozhuang, Shandong, 277160, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ZHEN-JUN","family":"SHI","sequence":"additional","affiliation":[{"name":"College of Operations Research and Management, Qufu Normal University, Rizhao, Shandong 276826, P. R. China"},{"name":"Department of Computer and Information Science, University of Michigan, Dearborn MI 48128, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.23.3.719"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026434200384"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026486217222"},{"key":"rf4","volume-title":"Variational Inequalities and Complementarity Problems: Theory and Applications","author":"Cottle R. W.","year":"1980"},{"key":"rf5","volume-title":"The Linear Complementarity Problem","author":"Cottle R. W.","year":"1992"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1080\/10556789508805619"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023087304476"},{"key":"rf8","first-page":"265","volume":"26","author":"Harker P. T.","journal-title":"Lectures in Applied Mathematics"},{"key":"rf9","first-page":"3","volume":"11","author":"He B. S.","journal-title":"IEEE Transaction on Neural Networks"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(96)00044-2"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581275"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-99-01082-0"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s101070050009"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595906000838","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:42:24Z","timestamp":1565116944000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0217595906000838"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,3]]},"references-count":13,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,3]]}},"alternative-id":["10.1142\/S0217595906000838"],"URL":"https:\/\/doi.org\/10.1142\/s0217595906000838","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,3]]}}}