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ACTA
1998
69views more  ACTA 1998»
13 years 10 months ago
Asymptotic Expansions of the Mergesort Recurrences
This note provides exact formulæ for the mean and variance of the cost of top-down recursive mergesort. These formulæ improve upon earlier results of Flajolet and Golin. Key wor...
Hsien-Kuei Hwang
ICALP
1993
Springer
14 years 3 months ago
Exact Asymptotics of Divide-and-Conquer Recurrences
The divide-and-conquer principle is a majoi paradigm of algorithms design. Corresponding cost functions satisfy recurrences that directly reflect the decomposition mechanism used i...
Philippe Flajolet, Mordecai J. Golin
CPHYSICS
2006
103views more  CPHYSICS 2006»
13 years 11 months ago
A band factorization technique for transition matrix element asymptotics
A new method of evaluating transition matrix elements between wave functions associated with orthogonal polynomials is proposed. The technique relies on purely algebraic manipulat...
Emmanuel Perrey-Debain, I. David Abrahams