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: Projection methods for systems of equations
  name:
    name part: Brezinski, Claude
    name part: 1941-
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    publisher: Elsevier Science
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (vii, 400 pages) : illustrations
  abstract: The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms. The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation Ax = b by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems. The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.
  table of contents: Introduction. 1. Preliminaries. 2. Biorthogonality. 3. Projection Methods for Linear Systems. 4. Lanczos-Type Methods. 5. Hybrid Procedures. 6. Semi-Iterative Methods. 7. Around Richardson's Projection. 8. System of Nonlinear Equations. Appendix. Schur's complement. Sylvester's and Schweins' identities. Bibliography. Index.
  note: Claude Brezinski.
  note: Includes bibliographical references (pages 341-390) and index.
  note: English.
  subject:
    topic: Equations, Simultaneous
    topic: Numerical solutions
  subject:
    topic: Iterative methods (Mathematics)
  subject:
    topic: Systèmes d'équations
    topic: Solutions numériques
  subject:
    topic: Itération (Mathématiques)
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Elementary
  subject:
    topic: Equations, Simultaneous
    topic: Numerical solutions
  subject:
    topic: Iterative methods (Mathematics)
  subject:
    topic: Gleichungssystem
  subject:
    topic: Projektionsverfahren
  subject:
    topic: Lineaire vergelijkingen
  subject:
    topic: Projectiemethoden (wiskunde)
  classification: QA214 .B74 1997eb
  classification: 512.9/42
  classification: 31.25
  classification: SK 915
  related item:
    title info:
      title: Projection methods for systems of equations
    name:
      name part: Brezinski, Claude, 1941-
    origin info:
      publisher: Amsterdam ; New York : Elsevier Science, 1997
    identifier: (DLC) 97043588
    identifier: (OCoLC)37928481
  related item:
    title info:
      title: Studies in computational mathematics ; 7
  identifier: 9780444827777
  identifier: 0444827773
  identifier: 058547429X
  identifier: 9780585474298
  identifier: 0080515258
  identifier: 9780080515250
  identifier: 97043588
  identifier: 120826:127100 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 070802
    record change date: 20260326150421.8
    record identifier: in00005731623
    language of cataloging:
      language term: eng