{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T22:33:01Z","timestamp":1770330781852,"version":"3.49.0"},"reference-count":10,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Scientific Research Fund of Hunan Provincial Education Department","award":["12C0664"],"award-info":[{"award-number":["12C0664"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints. SCALCG method can be regarded as a combination of conjugate gradient method and Newton-type method for solving unconstrained optimization problems. So, it has the advantages of the both methods. It is suitable for solving large-scale problems. So, it can be applied to solving large-scale monotone nonlinear equations with convex constraints. Under reasonable conditions, we prove its global convergence. We also do some numerical experiments show that the proposed method is efficient and promising.<\/jats:p>","DOI":"10.1155\/2013\/286486","type":"journal-article","created":{"date-parts":[[2013,11,25]],"date-time":"2013-11-25T18:58:31Z","timestamp":1385405911000},"page":"1-7","source":"Crossref","is-referenced-by-count":7,"title":["A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6788-3368","authenticated-orcid":true,"given":"Sheng","family":"Wang","sequence":"first","affiliation":[{"name":"Hunan Institute of Technology, Hengyang, Hunan 421008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongbo","family":"Guan","sequence":"additional","affiliation":[{"name":"Hunan Institute of Technology, Hengyang, Hunan 421008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1080\/02331939708844339"},{"key":"3","first-page":"355","volume-title":"A globally convergent inexact Newton method for system of monotone equations","year":"1998"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.10.002"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-004-1721-7"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-08-02121-2"},{"issue":"1","key":"7","first-page":"89","volume":"25","year":"2007","journal-title":"Journal of Computational Mathematics"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s00186-006-0140-y"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2009.04.004"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.04.017"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2006.06.015"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/286486.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/286486.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/286486.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T08:30:07Z","timestamp":1469867407000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/286486\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":10,"alternative-id":["286486","286486"],"URL":"https:\/\/doi.org\/10.1155\/2013\/286486","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}