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» Recurrence relations and fast algorithms
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AAECC
2006
Springer
135views Algorithms» more  AAECC 2006»
13 years 7 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
NIPS
2000
13 years 8 months ago
An Information Maximization Approach to Overcomplete and Recurrent Representations
The principle of maximizing mutual information is applied to learning overcomplete and recurrent representations. The underlying model consists of a network of input units driving...
Oren Shriki, Haim Sompolinsky, Daniel D. Lee
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
INFORMATICALT
2007
127views more  INFORMATICALT 2007»
13 years 7 months ago
Composition of Loop Modules in the Structural Blanks Approach to Programming with Recurrences: A Task of Synthesis of Nested Loo
The paper presents, first, the Structural Blanks (SB) approach, then a method to compose loop programs. SB is an approach for expressing computations based on recurrence relations...
Vytautas Cyras
CONSTRAINTS
1999
105views more  CONSTRAINTS 1999»
13 years 7 months ago
Algorithmic Power from Declarative Use of Redundant Constraints
Interval constraints can be used to solve problems in numerical analysis. In this paper we show that one can improve the performance of such an interval constraint program by the ...
Maarten H. van Emden