Sciweavers

534 search results - page 2 / 107
» Efficient polynomial L-approximations
Sort
View
83
Voted
ARITH
2007
IEEE
15 years 3 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard
80
Voted
SODA
1992
ACM
90views Algorithms» more  SODA 1992»
15 years 24 days ago
Self-Testing Polynomial Functions Efficiently and Over Rational Domains
In this paper we give the first self-testers and checkers for polynomials over rational and integer domains. We also show significantly stronger bounds on the efficiency of a simp...
Ronitt Rubinfeld, Madhu Sudan
CORR
2008
Springer
84views Education» more  CORR 2008»
14 years 11 months ago
Efficiently Testing Sparse GF(2) Polynomials
We give the first algorithm that is both query-efficient and time-efficient for testing whether an unknown function f : {0, 1}n {-1, 1} is an s-sparse GF(2) polynomial versus -far ...
Ilias Diakonikolas, Homin K. Lee, Kevin Matulef, R...
CORR
2008
Springer
125views Education» more  CORR 2008»
14 years 11 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
86
Voted
ICMS
2010
14 years 9 months ago
Efficient Evaluation of Large Polynomials
Abstract. Minimizing the evaluation cost of a polynomial expression is a fundamental problem in computer science. We propose tools that, for a polynomial P given as the sum of its ...
Charles E. Leiserson, Liyun Li, Marc Moreno Maza, ...