{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T15:50:09Z","timestamp":1718034609320},"reference-count":15,"publisher":"Institute for Operations Research and the Management Sciences (INFORMS)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics of OR"],"published-print":{"date-parts":[[1998,11]]},"abstract":" In this paper we develop systematically infeasible-interior-point methods of arbitrarily high order for solving horizontal linear complementarity problems that are sufficient in the sense of Cottle, Pang and Venkateswaran (1989). The results apply to degenerate problems and problems having no strictly complementary solution. Variants of these methods are described that eventually avoid recentering steps, and for which all components of the approximate solutions converge superlinearly at a high order, and other variants which even terminate with a solution of the complementarity problem after finitely many steps. <\/jats:p>","DOI":"10.1287\/moor.23.4.832","type":"journal-article","created":{"date-parts":[[2008,10,31]],"date-time":"2008-10-31T22:43:38Z","timestamp":1225493018000},"page":"832-862","source":"Crossref","is-referenced-by-count":29,"title":["High Order Infeasible-Interior-Point Methods for Solving Sufficient Linear Complementarity Problems"],"prefix":"10.1287","volume":"23","author":[{"given":"Josef","family":"Stoer","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Angewandte Mathematik und Statistik, Universit\u00e4t W\u00fcrzburg, Am Hubland, D-97074, W\u00fcrzburg, Germany"}]},{"given":"Martin","family":"Wechs","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Angewandte Mathematik und Statistik, Universit\u00e4t W\u00fcrzburg, Am Hubland, D-97074, W\u00fcrzburg, Germany"}]},{"given":"Shinji","family":"Mizuno","sequence":"additional","affiliation":[{"name":"The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106, Japan"}]}],"member":"109","reference":[{"key":"B1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.21.1.1"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90463-1"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-54509-3"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1287\/moor.15.4.662"},{"key":"B6","doi-asserted-by":"publisher","DOI":"10.1137\/0802028"},{"key":"B7","doi-asserted-by":"publisher","DOI":"10.1287\/moor.21.2.382"},{"key":"B8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01204707"},{"key":"B9","doi-asserted-by":"publisher","DOI":"10.1287\/moor.18.4.964"},{"key":"B10","doi-asserted-by":"publisher","DOI":"10.1287\/moor.15.2.191"},{"key":"B11","doi-asserted-by":"publisher","DOI":"10.1287\/moor.21.4.793"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0042787"},{"key":"B17","first-page":"103","volume":"239","author":"V\u00e4liaho H.","year":"1996","journal-title":"Linear Algebra Appl."},{"key":"B18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592215"},{"key":"B19","doi-asserted-by":"publisher","DOI":"10.1007\/BF01585182"},{"key":"B20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01585769"}],"container-title":["Mathematics of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubsonline.informs.org\/doi\/pdf\/10.1287\/moor.23.4.832","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,2]],"date-time":"2023-04-02T17:18:17Z","timestamp":1680455897000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubsonline.informs.org\/doi\/10.1287\/moor.23.4.832"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,11]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1998,11]]}},"alternative-id":["10.1287\/moor.23.4.832"],"URL":"https:\/\/doi.org\/10.1287\/moor.23.4.832","relation":{},"ISSN":["0364-765X","1526-5471"],"issn-type":[{"value":"0364-765X","type":"print"},{"value":"1526-5471","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,11]]}}}