{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,14]],"date-time":"2025-07-14T02:52:49Z","timestamp":1752461569697},"reference-count":15,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2004,9,7]],"date-time":"2004-09-07T00:00:00Z","timestamp":1094515200000},"content-version":"vor","delay-in-days":3871,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Comput Chem"],"published-print":{"date-parts":[[1994,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A recent gradient algorithm in nonlinear optimization uses a novel idea that avoids line searches. This so\u2010called spectral gradient algorithm works well when the spectrum of the Hessian of the function to be minimized has a small range or is clustered. In this article, we find a general preconditioning method for this algorithm. The preconditioning method is applied to the stress function, which arises in many applications of distance geometry, from statistics to finding molecular conformations. The Hessian of stress is shown to have a nice block structure. This structure yields a preconditioner which decreases the amount of computation needed to minimize stress by the spectral gradient algorithm. \u00a9 1994 by John Wiley &amp; Sons, Inc.<\/jats:p>","DOI":"10.1002\/jcc.540150212","type":"journal-article","created":{"date-parts":[[2005,1,2]],"date-time":"2005-01-02T01:04:18Z","timestamp":1104627858000},"page":"227-232","source":"Crossref","is-referenced-by-count":19,"title":["Preconditioners for distance matrix algorithms"],"prefix":"10.1002","volume":"15","author":[{"given":"W.","family":"Glunt","sequence":"first","affiliation":[]},{"given":"T. L.","family":"Hayden","sequence":"additional","affiliation":[]},{"given":"M.","family":"Raydan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,9,7]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.540140115"},{"key":"e_1_2_1_3_2","volume-title":"Distance Geometry and Molecular Conformations","author":"Crippen G. M.","year":"1988"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02460044"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1016\/S0092-8240(84)80067-1","volume":"46","author":"Havel T.","year":"1984","journal-title":"Bull. Math. Biol."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0079-6107(91)90007-F"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02461553"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01897162"},{"key":"e_1_2_1_9_2","first-page":"133","volume-title":"Recent Developments in Statistics","author":"de Leeuw J.","year":"1977"},{"key":"e_1_2_1_10_2","first-page":"501","volume-title":"Multivariate Analysis\u2014V","author":"de Leeuw J.","year":"1980"},{"key":"e_1_2_1_11_2","volume-title":"A Distance Approach to Nonlinear Multivariate Analysis","author":"Meulman J.","year":"1986"},{"key":"e_1_2_1_12_2","doi-asserted-by":"crossref","unstructured":"M. W.Trosset TR 93\u201013 Rice University 1993.","DOI":"10.1016\/S0271-5317(05)80660-8"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.540080711"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/jcc.540080817"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-141050-6.50023-4"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/13.3.321"}],"container-title":["Journal of Computational Chemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjcc.540150212","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jcc.540150212","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T06:05:17Z","timestamp":1698127517000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jcc.540150212"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,2]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1994,2]]}},"alternative-id":["10.1002\/jcc.540150212"],"URL":"https:\/\/doi.org\/10.1002\/jcc.540150212","archive":["Portico"],"relation":{},"ISSN":["0192-8651","1096-987X"],"issn-type":[{"value":"0192-8651","type":"print"},{"value":"1096-987X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,2]]}}}