A new minimum curvator multi-step method for unconstrained optimization

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dc.contributor.author Obeid, Samir
dc.contributor.author Moghrabi, I.A.R.
dc.date.accessioned 2018-06-20T07:46:45Z
dc.date.available 2018-06-20T07:46:45Z
dc.date.copyright 1998 en_US
dc.date.issued 2018-06-20
dc.identifier.isbn 90-6764-279-7 en_US
dc.identifier.uri http://hdl.handle.net/10725/8066
dc.description.abstract Multistep quasi-Newton methods for optimization were derived by J. A. Ford and I. A. Moghrabi [J. Comput. Appl. Math. 50, No. 1-3, 305-323 (1994; Zbl 0807.65062)], where it was shown how an interpolation in the variable-space could be used to generate “better” Hessian approximations. The work presented by J. A. Ford and I. A. Moghrabi [Comput. Math. Appl. 31, No. 4-5, 179-186 (1996; Zbl 0874.65046)] concentrated a choice of the curve parameters that ensure a “smooth” interpolation. In this paper, we carry on with a similar idea and define a rational model with a free parameter. Our derivation of the new algorithm is based on determining some value of the parameter that minimizes the curvature in some chosen metric. It is shown how such value can be “cheaply” calculated at each iteration. Numerical comparison between the new algorithm and other multistep algorithms reveal the merits of the new approach. en_US
dc.language.iso en en_US
dc.title A new minimum curvator multi-step method for unconstrained optimization en_US
dc.type Conference Paper / Proceeding en_US
dc.author.school SAS en_US
dc.author.idnumber 197929220 en_US
dc.author.department Natural Sciences en_US
dc.description.embargo N/A en_US
dc.identifier.ctation MOGHRABI, I., & OBEID, S. (1998). A New Minimum Curvature Multi-Step Method for Unconstrained Optimization. In Proceedings of the Eighth International Colloquium on Differential Equations: Plovdiv, Bulgaria, 18-23 August, 1997 (Vol. 6, p. 319). Vsp. en_US
dc.author.email sobeid@lau.edu.lb en_US
dc.conference.date 18-23 August, 1997 en_US
dc.conference.place Plovdiv, Bulgaria en_US
dc.conference.title Proceedings of the 8th International Colloquium on Differential Equations en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://books.google.com.lb/books?hl=en&lr=&id=GyWhTtLf4-wC&oi=fnd&pg=PA319&dq=A+new+minimum+curvator+multi-step+method+for+unconstrained+optimization&ots=id6W8WnguM&sig=1Oxmn4g5PaYGfxcg5VLnsW8Di00&redir_esc=y#v=onepage&q=A%20new%20minimum%20curvator%20multi-step%20method%20for%20unconstrained%20optimization&f=false en_US
dc.publication.date 1998 en_US
dc.author.affiliation Lebanese American University en_US

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