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FOCS
1992
IEEE
15 years 10 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
16 years 27 days 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
15 years 10 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
15 years 7 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
15 years 11 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