On multiplicative and Volterra minimization methods


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dc.contributor.author Özyapıcı, Ali
dc.contributor.author Rıza, Mustafa
dc.contributor.author Bilgehan, Bülent
dc.contributor.author Bashirov, Agamirza
dc.date.accessioned 2016-10-12T18:50:54Z
dc.date.available 2016-10-12T18:50:54Z
dc.date.issued 2014
dc.identifier.citation A. Özyapıcı, M. Riza, B. Bilgehan, and A. Bashirov, On multiplicative and Volterra minimization methods, Numerical Algorithms, 67(3), 623 (2014) en_US
dc.identifier.issn 1017-1398(print)
dc.identifier.issn 1572-9265(online)
dc.identifier.uri http://dx.doi.org/10.1007/s11075-013-9813-9
dc.identifier.uri http://hdl.handle.net/11129/3024
dc.description Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication. en_US
dc.description.abstract Theory and applications of multiplicative and Volterra calculi have been evolving rapidly over the recent years. As numerical minimization methods have a wide range of applications in science and engineering, the idea of the design of minimization methods based on multiplicative and Volterra calculi is self-evident. In this paper, the well-known Newton minimization method for one and two variables is developed in the frameworks of multiplicative and Volterra calculi. The efficiency of these proposed minimization methods is exposed by examples, and the results are compared with the original minimization method. One of the striking results of the proposed method is that the rate of convergence and the range of initial values are considerably larger compared to the original method. en_US
dc.language.iso eng en_US
dc.publisher Springer US en_US
dc.relation.isversionof 10.1007/s11075-013-9813-9 en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Newton minimization, Computer Science en_US
dc.subject 41A25, Algorithms, Curve fitting, Multiplicative minimization, en_US
dc.subject 65D15, Theory of Computation, Volterra calculus, Numerical Analysis, en_US
dc.subject Numeric Computing, Multiplicative calculus en_US
dc.title On multiplicative and Volterra minimization methods en_US
dc.type article en_US
dc.relation.journal Numerical Algorithms en_US
dc.contributor.department Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Physics en_US
dc.identifier.volume 67 en_US
dc.identifier.issue 3 en_US
dc.identifier.startpage 623 en_US
dc.identifier.endpage 636 en_US

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