Implementation of new algorithm for steepest descent method

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dc.contributor.authorMamat, Mustafa bin
dc.contributor.authorYee, Aw Siew
dc.contributor.authorMohd, Ismail bin
dc.date.accessioned2024-07-12T20:50:19Z
dc.date.available2024-07-12T20:50:19Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractExact line searches along each steepest descent direction converge very slowly. Barzilai and Borwein suggested two stepsizes that ensures superlinear convergence and performs quite well. Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear functions. A new stepsize enables fast convergence and possesses monotone property is proposed by Yuan. The new stepsize is modifled to obtain modifled new steepest descent method, which is for convex quadratic problems only is proposed by Yuan. The new steepest descent method uses the new stepsize after every m exact line search iterations. An algorithm for m=2 is proposed in this paper. We use quadratic functions to test the performance of our algorithm.en_US
dc.identifier.citationMamat, M., Yee, A. S. ve Mohd, I. (2009). Implementation of new algorithm for steepest descent method. Maltepe Üniversitesi. s. 287.en_US
dc.identifier.endpage288en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage287en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2311
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07638
dc.subjectSteepest descenten_US
dc.subjectLine searchen_US
dc.subjectUnconstrained optimizationen_US
dc.subjectConvergenceen_US
dc.subjectMonotoneen_US
dc.titleImplementation of new algorithm for steepest descent methoden_US
dc.typeConference Object
dspace.entity.typePublication

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