Title :
Floating-point computation of functions with maximum accuracy
Author_Institution :
Institut für Angewandte Mathematik der Universität, D-75 Karlsruhe, Kaiserstr. 12 West Germany
Abstract :
Algorithms are given which compute multiple sums and products and arbitray roots of floating-point numbers with maximum accuracy. The summation algorithm can be applied to compute scalar products, matrix products, etc. For all these functions, simple error formulas and the smallest floating-point intervals containing the exact result can be obtained.
Keywords :
Accuracy; Approximation algorithms; Approximation methods; Indexes; Limiting; Newton method; Vectors;
Conference_Titel :
Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on
Conference_Location :
Dallas, TX, USA
DOI :
10.1109/ARITH.1975.6156974
