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ERSA
2006
129views Hardware» more  ERSA 2006»
14 years 12 days ago
Group-Alignment based Accurate Floating-Point Summation on FPGAs
Floating-point summation is one of the most important operations in scientific/numerical computing applications and also a basic subroutine (SUM) in BLAS (Basic Linear Algebra Sub...
Chuan He, Guan Qin, Mi Lu, Wei Zhao
DAGSTUHL
2006
14 years 12 days ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
ASAP
2010
IEEE
142views Hardware» more  ASAP 2010»
14 years 16 days ago
Implementing decimal floating-point arithmetic through binary: Some suggestions
We propose several algorithms and provide some related results that make it possible to implement decimal floating-point arithmetic on a processor that does not have decimal opera...
Nicolas Brisebarre, Nicolas Louvet, Érik Ma...
ARITH
2001
IEEE
14 years 2 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
SAS
2007
Springer
14 years 5 months ago
Semantics-Based Transformation of Arithmetic Expressions
Floating-point arithmetic is an important source of errors in programs because of the loss of precision arising during a computation. Unfortunately, this arithmetic is not intuitiv...
Matthieu Martel
ARITH
2009
IEEE
14 years 5 months ago
IEEE 754-2008 Decimal Floating-Point for Intel
A brief description is provided of the decimal floating-point support available for Intel® Architecture processors, compliant with the IEEE Standard 754-2008 for Floating-Point A...
Marius Cornea