CALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIED MATHEMATICS
The author pursued research to provide improved subroutines for common arithmetic functions for scientific computations. He produced an algorithm for the accurate implementation of rational arithmetic operations without resorting to mult-precision arithmetic. This was described in a paper entitled Rational arithmetic in floating point. He has also made a careful study of how to make branch cuts in the complex plane so as to allow evaluation of the elementary functions without any anomalies. This was presented in a talk at the conference on State-of-the-Art in Numerical Analysis held in Birmingham, England, April 14-18, 1986.