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Matrices, Moments and Quadrature with Applications

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Title: Matrices, Moments and Quadrature with Applications
Description: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Authors: Gene H. Golub, Gérard Meurant
Resource Type: eBook.
Subjects: Matrices, Numerical analysis
Categories: MATHEMATICS / Matrices, COMPUTERS / Computer Science, MATHEMATICS / Algebra / Linear, MATHEMATICS / Applied
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 350080
RelevancyScore: 1031
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1031.17456054688
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Matrices, Moments and Quadrature with Applications
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
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  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Gene+H%2E+Golub%22">Gene H. Golub</searchLink><br /><searchLink fieldCode="AR" term="%22Gérard+Meurant%22">Gérard Meurant</searchLink>
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  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Matrices%22">Matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.9434
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Matrices
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
    Titles:
      – TitleFull: Matrices, Moments and Quadrature with Applications
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Gene H. Golub
      – PersonEntity:
          Name:
            NameFull: Gérard Meurant
      – PersonEntity:
          Name:
            NameFull: Gene H. Golub
      – PersonEntity:
          Name:
            NameFull: Gérard Meurant
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2010
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780691143415
            – Type: isbn-electronic
              Value: 9781400833887
          Titles:
            – TitleFull: Matrices, Moments and Quadrature with Applications
              Type: main
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