In this paper we present Minibit+, an approach that optimizes the bit-widths of fixed-point and floating-point designs, while guaranteeing accuracy. Our approach adopts differen...
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...
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Abstract—Precision analysis and optimization is very important when transforming a floating-point algorithm into fixedpoint hardware implementations. The core analysis techniqu...
Jason Cong, Karthik Gururaj, Bin Liu, Chunyue Liu,...
The Lenstra-Lenstra-Lov´asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other fields. Given an integer d-dimensi...