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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3024
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| Title: | On multiplicative and Volterra minimization methods |
| Authors: | Özyapıcı, Ali
Rıza, Mustafa
Bilgehan, Bülent
Bashirov, Agamirza
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Physics |
| Keywords: | Newton minimization, Computer Science
41A25, Algorithms, Curve fitting, Multiplicative minimization,
65D15, Theory of Computation, Volterra calculus, Numerical Analysis,
Numeric Computing, Multiplicative calculus
MATHEMATICS, APPLIED, CALCULUS |
| Issue Date: | 2014 |
| Publisher: | Springer US |
| Citation: | A. Özyapıcı, M. Riza, B. Bilgehan, and A. Bashirov, On multiplicative and Volterra
minimization methods, Numerical Algorithms, 67(3), 623 (2014) |
| 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. |
| 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. |
| URI: | http://dx.doi.org/10.1007/s11075-013-9813-9
http://hdl.handle.net/11129/3024 |
| ISSN: | 1017-1398(print)
1572-9265(online) |
| Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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