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: G.W. Stewart
    sub title: Selected Works with Commentaries
  name:
    name part: Kilmer, Misha E.
    role:
      role term: editor.
  name:
    name part: O’Leary, Dianne P.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 729 p. online resource.
  abstract: Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to James Wilkinson, the first giant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights. Stewart’s results on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewart’s papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize. Key features of this volume include: * Forty-four of Stewart’s most influential research papers in two subject areas: matrix algorithms and rounding and perturbation theory * A biography of Stewart * A complete list of Stewart’s publications, students, and honors * Selected photographs * Commentaries on Stewart’s works in collaboration with leading experts in the field G.W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.
  table of contents: G. W. Stewart -- Biography of G. W. Stewart -- Publications, Honors, and Students -- Commentaries -- to the Commentaries -- Matrix Decompositions: Linpack and Beyond -- Updating and Downdating Matrix Decompositions -- Least Squares, Projections, and Pseudoinverses -- The Eigenproblem and Invariant Subspaces: Perturbation Theory -- The SVD, Eigenproblem, and Invariant Subspaces: Algorithms -- The Generalized Eigenproblem -- Krylov Subspace Methods for the Eigenproblem -- Other Contributions -- Reprints -- Papers on Matrix Decompositions -- Papers on Updating and Downdating Matrix Decompositions -- Papers on Least Squares, Projections, and Generalized Inverses -- Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory -- Papers on the SVD, Eigenproblem and Invariant Subspaces: Algorithms -- Papers on the Generalized Eigenproblem -- Papers on Krylov Subspace Methods for the Eigenproblem.
  note: edited by Misha E. Kilmer, Dianne P. O’Leary.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Computer mathematics
  subject:
    topic: Algorithms
  subject:
    topic: History
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: History of Mathematical Sciences
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Algorithms
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA21-27
  classification: 510.9
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Contemporary Mathematicians
  identifier: 9780817649685
  identifier: http://dx.doi.org/10.1007/978-0-8176-4968-5
  record info:
    record creation date: 101013
    record change date: 20151125231704.0
    record identifier: 978-0-8176-4968-5