On a Model for Computing Round-Off Error of a Sum

Abstract : Given real numbers a sub 1, a sub 2, ..., a sub n, the report discusses, the classic problem of the error in computing S = Summation from 1 to n of (a sub i) when the sum is computed by (S sub O) tilde = Summation from 1 to n of (a sub 1)* where (a sub 1)* is the nearest integer to a sub i.