rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Advanced arithmetic for the digital computer
    sub title: design of arithmetic units
  name:
    name part: Kulisch, Ulrich.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: au
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xii, 141 pages) : 32 illustrations (some color).
  abstract: The book deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic requires that all computer approximations of arithmetic operations - in particular those in the usual vector and matrix spaces - differ from the correct result by at most one rounding. The implementation of advanced computer arithmetic by fast hardware is examined in the book. The new expanded computational capability is gained at modest cost. It increases both the speed of a computation and the accuracy of the computed result. With it fast multiple precision arithmetic can be easily provided. All this strongly supports the case for implementing advanced computer arithmetic on every CPU. The book also shows that on superscalar processors interval operations can be made as fast as simple floating-point operations with only very modest additional hardware costs.
  table of contents: Fast and Accurate Vector Operations: Introduction; Implementation Principles; High-Performance Scalar Product Units (SPU); Comments on the Scalar Product Units; Scalar Product Units for Top-Performance Computers; Hardware Accumulation Window; Theoretical Foundation of Advanced Computer Arithmetic; Bibliography and Related Literature -- Rounding Near Zero: The one dimensional case; Rounding in product spaces; Bibliography and Related Literature -- Interval Arithmetic Revisited: Introduction and Historical Remarks; Interval Arithmetic, a Powerful Calculus to Deal with In-equalities; Interval Arithmetic as Executable Set Operations; Enclosing the Range of Function Values; The Interval Newton Method; Extended Interval Arithmetic; The Extended Interval Newton Method; Differentiation Arithmetic, Enclosures of Derivatives; Interval Arithmetic on the Computer; Hardware Support for Interval Arithmetic; Bibliography and Related Literature.
  note: Ulrich W. Kulisch.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [137]-141).
  subject:
    topic: Computer arithmetic
  subject:
    topic: Computer arithmetic and logic units
  subject:
    topic: Computer arithmetic
  subject:
    topic: Computer arithmetic and logic units
  subject:
    topic: Computerarithmetik
  subject:
    topic: Computerarithmetik
  classification: QA76.9.C62 K85 2002
  classification: 621.3819
  classification: ST 120
  related item:
    title info:
      title: Advanced arithmetic for the digital computer
    name:
      name part: Kulisch, Ulrich.
    origin info:
      publisher: Wien ; New York : Springer, ©2002
    identifier: (DLC) 2003542809
    identifier: (OCoLC)52902477
  related item:
    title info:
      title: Springer mathematics
  identifier: 9783709105252 (electronic bk.)
  identifier: 3709105250 (electronic bk.)
  identifier: 3211838708 (pbk.)
  identifier: 9783211838709 (pbk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101112
    record change date: 20260422215150.6
    record identifier: in00003509065
    language of cataloging:
      language term: eng