Sciweavers

17 search results - page 1 / 4
» Fast Table-Driven Algorithms for Interval Elementary Functio...
Sort
View
ARITH
2001
IEEE
13 years 9 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
ANTS
1998
Springer
135views Algorithms» more  ANTS 1998»
13 years 10 months ago
Fast Multiprecision Evaluation of Series of Rational Numbers
We describe two techniques for fast multiple-precision evaluation of linearly convergent series, including power series and Ramanujan series. The computation time for N bits is O(...
Bruno Haible, Thomas Papanikolaou
JCSS
2010
105views more  JCSS 2010»
13 years 4 months ago
Fast convolution and Fast Fourier Transform under interval and fuzzy uncertainty
Convolution y(t) = a(t − s) · x(s) ds is one of the main techniques in digital signal processing. A straightforward computation of the convolution y(t) requires O(n2) steps, wh...
Guoqing Liu, Vladik Kreinovich
CSR
2010
Springer
13 years 10 months ago
Validating the Knuth-Morris-Pratt Failure Function, Fast and Online
Let πw denote the failure function of the Knuth-Morris-Pratt algorithm for a word w. In this paper we study the following problem: given an integer array A [1 . . n], is there a w...
Pawel Gawrychowski, Artur Jez, Lukasz Jez