Some remarks on numerical iterations in a symbolic manipulation system

✍ Scribed by Aik-Koan Heng

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 485 KB
• Volume: 10
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1016/s0747-7171(08)80042-9

✦ Synopsis

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.