A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer
Issue No. 07 - July (1977 vol. 26)
M.D. Ercegovac , Department of Computer Science, School of Engineering and Applied Science, University of California
A parallel computational method, amenable for efficient hardware-level implementation, is described. It provides a simple and fast algorithm for the evaluation of polynomials, certain rational functions and arithmetic expressions, solving a class of systems of linear equations, or performing the basic arithmetic operations in a fixed-point number representation system. The time required to perform the computation is of the order of m carry-free addition operations, m being the number of digits in the solution. In particular, the method is suitable for fast evaluation of mathematical functions in hardware.
Arithmetic expressions, digital computer arithmetic, evaluation of real-valued functions, fixed-point representation, hardware-level implementation, integral powers, linear systems, on-line algorithms, parallel computation, polynomials, rational functions, redundant number systems.
M.D. Ercegovac, "A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer", IEEE Transactions on Computers, vol. 26, no. , pp. 667-680, July 1977, doi:10.1109/TC.1977.1674900