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  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Handbook of Floating-Point Arithmetic
  name:
    name part: Muller, Jean-Michel.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Brunie, Nicolas.
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      role term: author.
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      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: de Dinechin, Florent.
    role:
      role term: author.
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      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Jeannerod, Claude-Pierre.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Joldes, Mioara.
    role:
      role term: author.
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      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Lefèvre, Vincent.
    role:
      role term: author.
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      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Melquiond, Guillaume.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Revol, Nathalie.
    role:
      role term: author.
    role:
      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Torres, Serge.
    role:
      role term: author.
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      role term: aut
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      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 2nd ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXV, 627 p. 64 illus., 5 illus. in color. online resource.
  abstract: 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. The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiply-add instruction, and methods of extending the floating-point precision. As supercomputing becomes more common, more numerical engineers will need to use number representation to account for trade-offs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of Floating-Point Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators. .
  table of contents: 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.
  note: by Jean-Michel Muller, Nicolas Brunie, Florent de Dinechin, Claude-Pierre Jeannerod, Mioara Joldes, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Serge Torres.
  subject:
    topic: Computer mathematics
  subject:
    topic: Algorithms
  subject:
    topic: Computer science-Mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Programming languages (Electronic computers)
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Algorithm Analysis and Problem Complexity
  subject:
    topic: Algorithms
  subject:
    topic: Math Applications in Computer Science
  subject:
    topic: Mathematical and Computational Engineering
  subject:
    topic: Programming Languages, Compilers, Interpreters
  classification: QA71-90
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319765266
  identifier: https://doi.org/10.1007/978-3-319-76526-6
  record info:
    record creation date: 180502
    record change date: 20191021211053.0
    record identifier: 978-3-319-76526-6