—During any composite computation, there is a constant need for rounding intermediate results before they can participate in further processing. Recently, a class of number repre...
Peter Kornerup, Jean-Michel Muller, Adrien Panhale...
Numerical non-robustness is a recurring phenomenon in scientific computing. It is primarily caused by numerical errors arising because of fixed-precision arithmetic in integer and...
We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The socalled Polynomial Modular Number System (PMNS) allows for fast polyn...
Jean-Claude Bajard, Laurent Imbert, Thomas Plantar...
This paper discusses the use of signed-digit representations in the implementation of fast and efficient residue-arithmetic units. Improvements to existing signed-digit modulo adde...
Practical solid modeling systems are plagued by numerical problems that arise from using oatingpoint arithmetic. For example, polyhedral solids are often represented by a combinat...