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...
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...
A new method of evaluating transition matrix elements between wave functions associated with orthogonal polynomials is proposed. The technique relies on purely algebraic manipulat...