The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Communications of the ACM - Special issue on computer architecture
A mathematical procedure for machine division
Communications of the ACM
The Complexity of Computing
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Speeding up an overrelaxation method of division in Radix-2n machine
Communications of the ACM
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When division is performed by a power series implementation with additions, subtractions, digit shifts, and multiplications, the convergence rate of the power series is important in practical application. Particularly if the rate of the power series is close to one, the convergence is slow and therefore a special method to accelerate the convergence is needed. Without such an acceleration, the power series implementation is less attractive. An acceleration method is proposed for the slow convergence rate. First, the worst case convergence rate of the power series is determined for a given appropriate acceleration factor. Next, a simple way to choose the appropriate acceleration factor is presented.