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» On the Computation of Correctly-Rounded Sums
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ERSHOV
2009
Springer
14 years 3 months ago
Standardization and Testing of Mathematical Functions
Abstract. The article concerns problems of formulating standard requirements to implementations of mathematical functions working with floating-point numbers and conformance test ...
Victor V. Kuliamin
ASAP
2008
IEEE
96views Hardware» more  ASAP 2008»
14 years 3 months ago
Integer and floating-point constant multipliers for FPGAs
Reconfigurable circuits now have a capacity that allows them to be used as floating-point accelerators. They offer massive parallelism, but also the opportunity to design optimi...
Nicolas Brisebarre, Florent de Dinechin, Jean-Mich...
COMBINATORICA
2010
13 years 3 months ago
Asymptotic enumeration of integer matrices with large equal row and column sums
Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m
E. Rodney Canfield, Brendan D. McKay
CORR
2011
Springer
160views Education» more  CORR 2011»
13 years 3 months ago
When is social computation better than the sum of its parts?
good solutions to complex problems. In many examples, individuals trying to solve superior global solution. This suggests that there may be general principles of information aggre...
Vadas Gintautas, Aric A. Hagberg, Luís M. A...
ARITH
2011
IEEE
12 years 8 months ago
Short Division of Long Integers
—We consider the problem of short division — i.e., approximate quotient — of multiple-precision integers. We present ready-to-implement algorithms that yield an approximation...
David Harvey, Paul Zimmermann