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FOCS
1992
IEEE
14 years 2 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo
ARITH
2007
IEEE
14 years 4 months ago
How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm
The compensated Horner algorithm improves the accuracy of polynomial evaluation in IEEE-754 floating point arithmetic: the computed result is as accurate as if it was computed wi...
Philippe Langlois, Nicolas Louvet
CSR
2006
Springer
14 years 1 months ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
PPSC
1997
13 years 11 months ago
A Parallel Algorithm for Interval Polynomial Interpolation
By taking data measurement errors into considerations, numerical results obtained by interval polynomial interpolation [5] are highly reliable. To reduce overestimation, combinati...
Chenyi Hu
CSL
2003
Springer
14 years 3 months ago
Generating All Abductive Explanations for Queries on Propositional Horn Theories
Abstract. Abduction is a fundamental mode of reasoning, which has taken on increasing importance in Artificial Intelligence (AI) and related disciplines. Computing abductive expla...
Thomas Eiter, Kazuhisa Makino