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: Iterative solution of large linear systems
  name:
    name part: Young, David M.
    name part: 1923-2008
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Academic Press
    date issued: 1971
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxiv, 570 pages) : illustrations
  abstract: Iterative Solution of Large Linear Systems.
  table of contents: Front Cover; Iterative Solution of Large Linear Systems; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Notation; List of Fundamental Matrix Properties; List of Iterative Methods; Chapter 1. Introduction; 1.1. The Model Problem; Supplementary Discussion; Exercises; Chapter 2. Matrix Preliminaries; 2.1. Review of Matrix Theory; 2.2. Hermitian Matrices and Positive Definite Matrices; 2.3. Vector Norms and Matrix Norms; 2.4. Convergence of Sequences of Vectors and Matrices; 2.5. Irreducibility and Weak Diagonal Dominance; 2.6. Property A.
  table of contents: 2.7. L-Matrices and Related Matrices2.8. Illustrations; Supplementary Discussion; Exercises; Chapter 3. Linear Stationary Iterative Methods; 3.1. Introduction; 3.2. Consistency, Reciprocal Consistency, and Complete Consistency; 3.3. Basic Linear Stationary Iterative Methods; 3.4. Generation of Completely Consistent Methods; 3.5. General Convergence Theorems; 3.6. Alternative Convergence Conditions; 3.7. Rates of Convergence; 3.8. The Jordan Condition Number of a 2 × 2 Matrix; Supplementary Discussion; Exercises; Chapter 4. Convergence of the Basic Iterative Methods.
  table of contents: 4.1. General Convergence Theorems4.2. Irreducible Matrices with Weak Diagonal Dominance; 4.3. Positive Definite Matrices; 4.4. The SOR Method with Varying Relaxation Factors; 4.5. L-Matrices and Related Matrices; 4.6. Rates of Convergence of the J and GS Methods for the Model Problem; Supplementary Discussion; Exercises; Chapter 5. Eigenvalues of the SOR Method for Consistently Ordered Matrices; 5.1. Introduction; 5.2. Block Tri-Diagonal Matrices; 5.3. Consistently Ordered Matrices and Ordering Vectors; 5.4. Property A; 5.5. Nonmigratory Permutations.
  table of contents: 6.6. Iterative Methods of Choosing [omega]b 6.7. An Upper Bound for [mu]; 6.8. A Priori Determination of [mu]: Exact Methods; 6.9. A Priori Determination of [mu]: Approximate Values; 6.10. Numerical Results; Supplementary Discussion; Exercises; Chapter 7. Norms of the SOR Method; 7.1. The Jordan Canonical Form of L[omega]; 7.2. Basic Eigenvalue Relation; 7.3. Determination of L[omega] D; 7.4. Determination of L[omega] D; 7.5. Determination of L[omega] A; 7.6. Determination of L[omega] A; 7.7. Comparison of L[omega]mb D and L[omega]mb IIA; Supplementary Discussion; Exercises; Chapter 8. The Modified SOR Method: Fixed Parameters.
  note: David M. Young.
  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 556-563).
  note: English.
  subject:
    topic: Equations, Simultaneous
  subject:
    topic: Iterative methods (Mathematics)
  subject:
    topic: Linear systems
  subject:
    topic: Iterative methods (Mathematics)
    topic: Methodology
  subject:
    topic: Systèmes d'équations
  subject:
    topic: Itération (Mathématiques)
    topic: Méthodologie
  subject:
    topic: Itération (Mathématiques)
  subject:
    topic: Systèmes linéaires
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Equations, Simultaneous
  subject:
    topic: Iterative methods (Mathematics)
  subject:
    topic: Linear systems
  subject:
    topic: Iteration
  subject:
    topic: Lineare Algebra
  subject:
    topic: Lineares Gleichungssystem
  subject:
    topic: Näherungsrechnung
  classification: QA195 .Y68
  classification: 512.9/42
  classification: SK 220
  classification: SK 910
  related item:
    title info:
      title: Iterative Solution of Large Linear Systems
    name:
      name part: Young, David M.
    origin info:
      publisher: Burlington : Elsevier Science, ©2014
  related item:
    title info:
      title: Computer science and applied mathematics
  identifier: 9781483274133
  identifier: 1483274136
  identifier: 9780127730509
  identifier: 0127730508
  identifier: 73170124
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101107
    record change date: 20260326184019.6
    record identifier: in00005746219
    language of cataloging:
      language term: eng