Error Bounds for Arithmetic Operations on Computers Without Guard Digits
Frank W. J. Olver · IMA Journal of Numerical Analysis · 1983
For computers having no form of guard digit in the accumulator register it is not possible to bound the relative error of floating-point subtraction processes in a satisfactory manner. This paper describes some modifications of recent error analyses to cover this situation, including the evaluation of sums and inner products, and indicates the corresponding modifications for the solution of systems of linear algebraic equations.