Report Number: CS-TR-70-163
Institution: Stanford University, Department of Computer Science
Title: An algorithm for floating-point accumulation of sums with
small relative error
Author: Malcolm, Michael A.
Date: June 1970
Abstract: A practical algorithm for floating-point accumulation is
presented. Through the use of multiple accumulators, errors
due to cancellation are avoided. An example in Fortran is
included. An error analysis providing a sharp bound on the
relative error is also given.