Multidimensional Divide-and-Conquer Maximin Recurrences
نویسندگان
چکیده
منابع مشابه
Combinatorial Solutions of Multidimensional Divide-and-Conquer Recurrences
In this paper we use combinatorial techniques to solve recurrence relations in two variables of the form T(N,k) = 2 T(N/2,k) + T(N,k-l) + f(N) and related recurrences. These recurrences arise in the analysis of algorithms based on a paradigm called "multidimensional divide-and-conquer". The analyses that we present are interesting from a combinatorial view, and show that certain algorithms are ...
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Asymptotics of divide-and-conquer recurrences is usually dealt either with elementary inequalities or with sophisticated methods coming from analytic number theory. Philippe Dumas proposes a new approach based on linear algebra. The example of the complexity of Karatsuba’s algorithm is used as a guide in this summary. The complexity analysis of divide-and-conquer algorithms gives rise to recurr...
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The divide-and-conquer principle is a majoi paradigm of algorithms design. Corresponding cost functions satisfy recurrences that directly reflect the decomposition mechanism used in the algorithm. This work shows that periodicity phenomena, often of a fractal nature, are ubiquitous in the performances of these algorithms. Mellin transforms and Dirichlet series are used to attain precise asympto...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 1995
ISSN: 0895-4801,1095-7146
DOI: 10.1137/s0895480192232862