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Handbook of Floating-Point Arithmetic
Langbeschreibung
This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard's technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.
Inhaltsverzeichnis
Part I: Introduction, Basic Definitions, and Standards.- Introduction.- Definitions and Basic Notations.- Floating-Point Formats and Environment.- Part II: Cleverly Using Floating-Point Arithmetic.- Basic Properties and Algorithms.- Enhanced FP Sums, Dot Products, and Polynomial Values.- Languages and Compilers.- Part III: Implementing Floating-Point Operators.- Algorithms for the Basic Operations.- Hardware Implementation of Floating-Point Arithmetic.- Software Implementation of Floating-Point Arithmetic.- Evaluating Floating-Point Elementary Functions.- Part IV: Extensions.- Complex Numbers.- Interval Arithmetic.- Verifying Floating-Point Arithmetic.- Extending the Precision.- Appendix A: Number Theory Tools.- Appendix B: Previous Standards.- References.- Index.
Jean-Michel Muller (coordinator), CNRS, Laboratoire LIP, AriC team
ISBN-13:
9783319765266
Veröffentl:
2018
Seiten:
627
Autor:
Jean-Michel Muller
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
149,79 €*
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