The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic
Journal of the ACM (JACM)
Probabilistic error analysis of floating point and crd arithmetics
Probabilistic error analysis of floating point and crd arithmetics
A low error and high performance multiplexer-based truncated multiplier
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Hi-index | 14.98 |
An economical, unbiased, overflow-free rounding scheme for multiplication of multiple-precision floating-point numbers is proposed. The scheme, called pseudorandom rounding, saves multiplications of lower bits and makes use of statistical properties of bits around the least significant bit of products in order to compensate for truncated parts. The method is deterministic, and inputs are commutable. The validity of the rounding is verified by numerical simulation.