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What is Newton-Raphson Division for Floating-Point about?

This document presents methods for proving correct rounding of division algorithms based on Newton-Raphson iterations performed with a fused multiply-add (FMA) operation. It introduces techniques to analyze the Newton-Raphson iterations for both binary and decimal floating-point arithmetic. The key points are: 1. It adapts existing techniques for analyzing exclusion intervals and worst case errors to prove correct rounding for Newton-Raphson division algorithms in any radix, including decimal. 2. It prov

Author

John Leons

Language

EN