On Local Roundoff Errors in Floating-Point Arithmetic
Journal of the ACM (JACM)
Convergence Estimates for the Distribution of Trailing Digits
Journal of the ACM (JACM)
On the distributions of significant digits and roundoff errors
Communications of the ACM
More on algorithms that reveal properties of floating point arithmetic units
Communications of the ACM
A statistical study of the accuracy of floating point number systems
Communications of the ACM
Optimizing floating point arithmetic via post addition shift probabilities
AFIPS '69 (Spring) Proceedings of the May 14-16, 1969, spring joint computer conference
A Simulative Study of Correlated Error Propagation in Various Finite-Precision Arithmetics
IEEE Transactions on Computers
Static and Dynamic Numerical Characteristics of Floating-Point Arithmetic
IEEE Transactions on Computers
On the Precision Attainable with Various Floating-Point Number Systems
IEEE Transactions on Computers
An analysis of floating-point addition
IBM Systems Journal
Hi-index | 14.98 |
The error properties of floating-point arithmetic using various rounding methods (including ROM rounding, a new scheme) are analyzed. Guard digits are explained, and the rounding schemes' effectiveness are evaluated and compared.