Handbook of Floating-Point Arithmetic

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-...

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Hlavní autor: Muller, Jean-Michel (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:2nd ed. 2018.
Témata:
Computer mathematics.
Algorithms.
Computer science-Mathematics.
Applied mathematics.
Engineering mathematics.
Programming languages (Electronic computers).
ISBN:9783319765266
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Obsah:
  • 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.

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