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: Numerical analysis
  name:
    name part: Scott, L. Ridgway.
    role:
      role term: creator
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: nju
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xiv, 325 pages : illustrations ; 24 cm.
  table of contents: Ch. 1 Numerical Algorithms -- 1.1.Finding roots -- 1.2.Analyzing Heron's algorithm -- 1.3.Where to start -- 1.4.An unstable algorithm -- 1.5.General roots: effects of floating-point -- 1.6.Exercises -- 1.7.Solutions -- ch. 2 Nonlinear Equations -- 2.1.Fixed-point iteration -- 2.2.Particular methods -- 2.3.Complex roots -- 2.4.Error propagation -- 2.5.More reading -- 2.6.Exercises -- 2.7.Solutions -- ch. 3 Linear Systems -- 3.1.Gaussian elimination -- 3.2.Factorization -- 3.3.Triangular matrices -- 3.4.Pivoting -- 3.5.More reading -- 3.6.Exercises -- 3.7.Solutions -- ch. 4 Direct Solvers -- 4.1.Direct factorization -- 4.2.Caution about factorization -- 4.3.Banded matrices -- 4.4.More reading -- 4.5.Exercises -- 4.6.Solutions -- ch. 5 Vector Spaces -- 5.1.Normed vector spaces -- 5.2.Proving the triangle inequality -- 5.3.Relations between norms -- 5.4.Inner-product spaces -- 5.5.More reading -- 5.6.Exercises -- 5.7.Solutions -- ch. 6 Operators -- 6.1.Operators -- 6.2.Schur decomposition -- 6.3.Convergent matrices -- 6.4.Powers of matrices -- 6.5.Exercises -- 6.6.Solutions -- ch. 7 Nonlinear Systems -- 7.1.Functional iteration for systems -- 7.2.Newton's method -- 7.3.Limiting behavior of Newton's method -- 7.4.Mixing solvers -- 7.5.More reading -- 7.6.Exercises -- 7.7.Solutions -- ch. 8 Iterative Methods -- 8.1.Stationary iterative methods -- 8.2.General splittings -- 8.3.Necessary conditions for convergence -- 8.4.More reading -- 8.5.Exercises -- 8.6.Solutions -- ch. 9 Conjugate Gradients -- 9.1.Minimization methods -- 9.2.Conjugate Gradient iteration -- 9.3.Optimal approximation of CG -- 9.4.Comparing iterative solvers -- 9.5.More reading -- 9.6.Exercises -- 9.7.Solutions -- ch. 10 Polynomial Interpolation -- 10.1.Local approximation: Taylor's theorem -- 10.2.Distributed approximation: interpolation -- 10.3.Norms in infinite-dimensional spaces -- 10.4.More reading -- 10.5.Exercises -- 10.6.Solutions -- ch. 11 Chebyshev and Hermite Interpolation -- 11.1.Error term --…
  note: L. Ridgway Scott.
  note: Includes bibliographical references (pages [311]-322) and index.
  subject:
    topic: Numerical analysis
  classification: 519.4
  identifier: 9780691146867
  identifier: 0691146861
  record info:
    record content source: BTCTA
    record creation date: 101107
    record change date: 20151202142202.0
    record identifier: in00002711343