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Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 3, Pages 236–246
(Mi jsfu23)
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This article is cited in 9 scientific papers (total in 9 papers)
Mathematical Methods for the Analysis of Recursive Algorithms
Valentina V. Bykova Institute of Mathematics, Siberian Federal University
Abstract:
We prove a theorem that defines asymptotic estimates for the solution of a recurrent relation. This recurrent relation typically describes time complexity functions for recursive algorithms with an additive reduction of the dimension of a given problem. The presented results together with a known main theorem on recurrent relations give a tool for the analysis of the complexity of two most typical recursive schemes.
Keywords:
complexity of algorithms, recursion, recurrent relations.
Received: 05.03.2008 Received in revised form: 10.04.2008 Accepted: 05.05.2008
Citation:
Valentina V. Bykova, “Mathematical Methods for the Analysis of Recursive Algorithms”, J. Sib. Fed. Univ. Math. Phys., 1:3 (2008), 236–246
Linking options:
https://www.mathnet.ru/eng/jsfu23 https://www.mathnet.ru/eng/jsfu/v1/i3/p236
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Abstract page: | 2029 | Full-text PDF : | 810 | References: | 175 |
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