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ARITH
2009
IEEE
15 years 4 months ago
IEEE Interval Standard Working Group - P1788: Current Status
Late 2008, at SCAN 2008 in El Paso, TX, an effort to standardize interval computations was started by a working group of the IEEE Microprocessor Standards Committee, titled the In...
William Edmonson, Guillaume Melquiond
CSC
2006
14 years 11 months ago
A Hybrid Number Representation Scheme Based on Symmetric Level-Index Arithmetic
- Symmetric level-index arithmetic was introduced to overcome the problems of overflow and underflow in scientific computations. A hybrid SLI-FLP number system, together with some ...
Xunyang Shen, Peter Turner
CASC
2010
Springer
153views Mathematics» more  CASC 2010»
14 years 6 months ago
Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
Oleg Lobachev, Rita Loogen
ESA
2005
Springer
162views Algorithms» more  ESA 2005»
15 years 3 months ago
Minimal Interval Completions
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means ...
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...
71
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ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
15 years 3 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet