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Software for Roundoff Analysis of Matrix Algorithms

Bibliographic Details
Title: Software for Roundoff Analysis of Matrix Algorithms
Description: Computer Science and Applied Mathematics: A Series of Monographs and Textbooks: Software for Roundoff Analysis of Matrix Algorithms focuses on the presentation of techniques and software tools for analyzing the propagation of rounding error in matrix algorithms. The publication looks into some elements of error analysis, concepts from linear algebra and analysis, and directed graphs. Discussions focus on arithmetic graphs, sums of path products, linear transformations, Minkowski sums and Cartesian products, and elementary concepts from analysis. The text then examines software for roundoff analysis, including rounding and perturbations of the computational problem, comparing rounding errors with problem sensitivity, reverse condition numbers, and comparing two algorithms. The book ponders on case studies, as well as Gaussian elimination with iterative improvement, Cholesky factorization, Gauss-Jordan elimination, variants of the Gram-Schmidt method, and Cholesky factors after rank-one modifications. The text is a valuable reference for researchers interested in the techniques and software tools involved in the analysis of the propagation of rounding error in matrix algorithms.
Authors: Webb Miller, Celia Wrathall
Resource Type: eBook.
Subjects: Matrices--Data processing, Roundoff errors--Data processing
Categories: MATHEMATICS / Algebra / Intermediate, MATHEMATICS / General
Database: eBook Index
FullText Text:
  Availability: 0
Header DbId: edsebk
DbLabel: eBook Index
An: 931584
RelevancyScore: 912
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 912.106750488281
IllustrationInfo
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  Data: Software for Roundoff Analysis of Matrix Algorithms
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  Label: Description
  Group: Ab
  Data: Computer Science and Applied Mathematics: A Series of Monographs and Textbooks: Software for Roundoff Analysis of Matrix Algorithms focuses on the presentation of techniques and software tools for analyzing the propagation of rounding error in matrix algorithms. The publication looks into some elements of error analysis, concepts from linear algebra and analysis, and directed graphs. Discussions focus on arithmetic graphs, sums of path products, linear transformations, Minkowski sums and Cartesian products, and elementary concepts from analysis. The text then examines software for roundoff analysis, including rounding and perturbations of the computational problem, comparing rounding errors with problem sensitivity, reverse condition numbers, and comparing two algorithms. The book ponders on case studies, as well as Gaussian elimination with iterative improvement, Cholesky factorization, Gauss-Jordan elimination, variants of the Gram-Schmidt method, and Cholesky factors after rank-one modifications. The text is a valuable reference for researchers interested in the techniques and software tools involved in the analysis of the propagation of rounding error in matrix algorithms.
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  Data: <searchLink fieldCode="AR" term="%22Webb+Miller%22">Webb Miller</searchLink><br /><searchLink fieldCode="AR" term="%22Celia+Wrathall%22">Celia Wrathall</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Matrices--Data+processing%22">Matrices--Data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Roundoff+errors--Data+processing%22">Roundoff errors--Data processing</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.9434
        Scheme: ddc
        Type: prePub
      – Code: 512.9434
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Matrices--Data processing
        Type: general
      – SubjectFull: Roundoff errors--Data processing
        Type: general
    Titles:
      – TitleFull: Software for Roundoff Analysis of Matrix Algorithms
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Webb Miller
      – PersonEntity:
          Name:
            NameFull: Celia Wrathall
      – PersonEntity:
          Name:
            NameFull: Webb Miller
      – PersonEntity:
          Name:
            NameFull: Celia Wrathall
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 22
              M: 01
              Type: profile
              Y: 2015
          Identifiers:
            – Type: isbn-print
              Value: 9780124972506
            – Type: isbn-electronic
              Value: 9781483265155
          Titles:
            – TitleFull: Software for Roundoff Analysis of Matrix Algorithms
              Type: main
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