0740-7475/98/$10.00 © 1998 IEEE 105 MODULE GENERATORS PROVIDED by library vendors supply chip designers with optimized Booth multipliers, which are widely used as embedded cores in both generalpurpose data path structures and specialized digital signal processors. Designers frequently use Booth multipliers in areaand speedcritical parts of complex ICs. Compared to standard array multipliers, Bo...

Recent computing-oriented FPGAs feature DSP blocks including small embedded multipliers. A large integer multiplier, for instance for a double-precision floatingpoint multiplier, consumes many of these DSP blocks. This article studies three non-standard implementation techniques of large multipliers: the Karatsuba-Ofman algorithm, non-standard multiplier tiling, and specialized squarers. They a...

Multipliers are routinely used for impact evaluation of private projects and public policies at the national and subnational levels. Oosterhaven & Stelder (2002) correctly pointed out the misuse of standard ‘gross’ multipliers and proposed the concept of ‘net’ multiplier as a solution to this bad practice. We prove their proposal is not well founded. We do so by showing that supporting theorems...

This paper proposes a new method to numerically obtain Floquet multipliers which characterize stability of periodic orbits of ordinary differential equations. For sufficiently smooth periodic orbits, we can compute Floquet multipliers using some standard numerical methods with enough accuracy. However, it has been reported that these methods may produce incorrect results under some conditions. ...