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CORR
2006
Springer
98views Education» more  CORR 2006»
13 years 11 months ago
Recurrence relations and fast algorithms
We construct fast algorithms for evaluating transforms associated with families of functions which satisfy recurrence relations. These include algorithms both for computing the co...
Mark Tygert
COMBINATORICS
2007
66views more  COMBINATORICS 2007»
13 years 11 months ago
The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
Arvind Ayyer, Doron Zeilberger
AAECC
2006
Springer
135views Algorithms» more  AAECC 2006»
13 years 11 months ago
Computing Hypergeometric Solutions of Linear Recurrence Equations
We describe a complete algorithm to compute the hypergeometric solutions of linear recurrence relations with rational function coefficients. We use the notion of finite singularit...
Thomas Cluzeau, Mark van Hoeij
CONSTRAINTS
2008
138views more  CONSTRAINTS 2008»
13 years 11 months ago
Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency
Submodular function minimization is a polynomially-solvable combinatorial problem. Unfortunately the best known general-purpose algorithms have high-order polynomial time complexi...
Martin C. Cooper