We describe a new LLL-type algorithm, H-LLL, that relies on Householder transformations to approximate the underlying Gram-Schmidt orthogonalizations. The latter computations are ...
The draft revision of the IEEE Standard for FloatingPoint Arithmetic (IEEE P754) includes a definition for decimal floating-point (FP) in addition to the widely used binary FP s...
Decimal multiplication is important in many commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This p...
Mark A. Erle, Michael J. Schulte, Brian J. Hickman...
This paper describes a study of a class of algorithms for the floating-point divide and square root operations, based on the Newton-Raphson iterative method. The two main goals we...
Marius A. Cornea-Hasegan, Roger A. Golliver, Peter...
Complex signal processing algorithms are specified in floating point precision. When their hardware implementation requires fixed point precision, type refinement is needed. The p...
Radim Cmar, Luc Rijnders, Patrick Schaumont, Serge...