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: Accuracy and stability of numerical algorithms
  name:
    name part: Higham, Nicholas J.
    name part: 1961-
    role:
      role term: creator
    role:
      role term: author
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: pau
    date issued: 1996
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xxviii, 688 pages : illustrations ; 24 cm
  table of contents: Principles of Finite Precision Computation -- Relative Error and Significant Digits -- Sources of Errors -- Precision Versus Accuracy -- Backward and Forward Errors -- Conditioning -- Cancellation -- Solving a Quadratic Equation -- Computing the Sample Variance -- Solving Linear Equations -- Accumulation of Rounding Errors -- Instability Without Cancellation -- Increasing the Precision -- Cancellation of Rounding Errors -- Rounding Errors Can Be Beneficial -- Stability of an Algorithm Depends on the Problem -- Rounding Errors Are Not Random -- Designing Stable Algorithms -- Misconceptions -- Rounding Errors in Numerical Analysis -- Floating Point Arithmetic -- Floating Point Number System -- Model of Arithmetic -- IEEE Arithmetic -- Aberrant Arithmetics -- Exact Subtraction -- Fused Multiply-Add Operation -- Choice of Base and Distribution of Numbers -- Statistical Distribution of Rounding Errors -- Alternative Number Systems -- Elementary Functions -- Accuracy Tests -- Inner and Outer Products -- The Purpose of Rounding Error Analysis -- Running Error Analysis -- Notation for Error Analysis -- Matrix Multiplication -- Complex Arithmetic -- Miscellany -- Error Analysis Demystified -- Other Approaches -- Summation -- Summation Methods -- Error Analysis -- Compensated Summation -- Other Summation Methods -- Statistical Estimates of Accuracy -- Choice of Method -- Polynomials -- Horner's Method -- Evaluating Derivatives -- The Newton Form and Polynomial Interpolation -- Matrix Polynomials -- Norms -- Vector Norms.
  note: Nicholas J. Higham.
  note: Includes bibliographical references (pages 595-663) and indexes.
  subject:
    topic: Numerical analysis
    topic: Data processing
  subject:
    topic: Computer algorithms
  subject:
    topic: Algorithms
  subject:
    topic: Analyse numérique
    topic: Informatique
  subject:
    topic: Algorithmes
  subject:
    topic: algorithms
  subject:
    topic: 31.76 numerical analysis
  subject:
    topic: Algorithms
  subject:
    topic: Computer algorithms
  subject:
    topic: Numerical analysis
    topic: Data processing
  subject:
    topic: Algorithmus
  subject:
    topic: Genauigkeit
  subject:
    topic: Numerische Mathematik
  subject:
    topic: Stabilität
  subject:
    topic: Numerieke wiskunde
  subject:
    topic: Algoritmen
  subject:
    topic: Analise numerica
  subject:
    topic: Numerical analysis
    topic: Data processing
  subject:
    topic: Computer algorithms
  classification: QA297 .H53 1996
  classification: 519.4/0285/51
  classification: 512.97
  classification: 31.76
  identifier: 0898713552
  identifier: 9780898713558
  identifier: 95039903
  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 950911
    record change date: 20240808153136.9
    record identifier: in00004814979
    language of cataloging:
      language term: eng