{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:31:09Z","timestamp":1787329869471,"version":"build-2736575974"},"reference-count":8,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[1993,11]]},"abstract":"<jats:p>A new class of Hessian updates is introduced for quasi-Newton methods obtained by modifying the Broyden class of updates so that it interpolates function values. In general, the members of this new class do not satisfy the quasi-Newton equation. Through the use of a weak inverse updating strategy, a specific choice of update within this class is then introduced. Numerical results are given to illustrate the behaviour of this new update and to compare it with other updating sequences.<\/jats:p>","DOI":"10.1137\/0914080","type":"journal-article","created":{"date-parts":[[2005,3,1]],"date-time":"2005-03-01T03:41:55Z","timestamp":1109648515000},"page":"1359-1367","source":"Crossref","is-referenced-by-count":2,"title":["A Modified Broyden Update with Interpolation"],"prefix":"10.1137","volume":"14","author":[{"given":"Miguel F.","family":"Anjos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,13]]},"reference":[{"key":"R1","volume-title":"Numerical methods for unconstrained optimization and nonlinear equations","author":"Dennis, Jr. John E.","year":"1983"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"J. E. Dennis, Jr., H. Wolkowicz,  Sizing and least change secant methods, C&O Research Report, CORR 90-02, University of Waterloo, Waterloo, Ontario,  1990","DOI":"10.21236\/ADA455266"},{"key":"R3","volume-title":"Practical optimization","author":"Gill Philip E.","year":"1981"},{"key":"R4","volume-title":"Linear and nonlinear programming","author":"Luenberger D. G.","year":"1984"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1145\/355934.355936"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.20.5.845"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-68874-4_17"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/11.3.325"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/0914080","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:36:51Z","timestamp":1787326611000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/0914080"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,11]]},"references-count":8,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1993,11]]}},"alternative-id":["10.1137\/0914080"],"URL":"https:\/\/doi.org\/10.1137\/0914080","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,11]]}}}