Some remarks on numerical iterations in a symbolic manipulation system

Aik-Koan Heng
1990 Journal of symbolic computation  
Real numbers are represented as rational numbers in a symbolic manipulation system. The advantage of using this type of system performing numerical iterations is to reduce the roundoff error of operations. In fact, the roundoff error of operations is equal to zero as the calculation is exact. In this article, we will study the convergence properties of numerical iterations in this type of machine.
doi:10.1016/s0747-7171(08)80042-9 fatcat:5ew5gaywvze3filyrmwyncdkai