Numerical Computing with IEEE Floating Point Arithmetic

2001/01/01 by Michael L. Overton · 4 citations
Computer Science · Mathematics · #Algorithm #Arithmetic #Computer science #Floating point #IEEE floating point #Mathematics #Numerical Methods and Algorithms #Parallel computing

paper · doi:10.1137/1.9780898718072

openalex publication_date 2001/01/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/03/12

Abstract

A broad overview of numerical computing, in a historical context, with a special focus on the IEEE standard for binary floating point arithmetic. Key ideas are developed step by step, taking the reader from floating point representation, correctly rounded arithmetic, and the IEEE philosophy on exceptions, to an understanding of the crucial concepts of conditioning and stability, explained in a simple yet rigorous context. There are technical details and challenging exercises that go beyond the subjects covered in the text.

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• IEEE 754 [wikipedia]