Matrix Computations and Semiseparable Matrices : Linear Systems

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Title: Matrix Computations and Semiseparable Matrices : Linear Systems
Description: In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Authors: Raf Vandebril, Marc Van Barel, Nicola Mastronardi
Resource Type: eBook.
Subjects: Numerical analysis, Matrices--Data processing, Semiseparable matrices
Categories: MATHEMATICS / Applied, MATHEMATICS / Matrices
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 303871
RelevancyScore: 1018
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1018.08020019531
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Matrix Computations and Semiseparable Matrices : Linear Systems
– Name: Abstract
  Label: Description
  Group: Ab
  Data: In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
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  Data: <searchLink fieldCode="AR" term="%22Raf+Vandebril%22">Raf Vandebril</searchLink><br /><searchLink fieldCode="AR" term="%22Marc+Van+Barel%22">Marc Van Barel</searchLink><br /><searchLink fieldCode="AR" term="%22Nicola+Mastronardi%22">Nicola Mastronardi</searchLink>
– Name: TypePub
  Label: Resource Type
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  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices--Data+processing%22">Matrices--Data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Semiseparable+matrices%22">Semiseparable matrices</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.9434
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Matrices--Data processing
        Type: general
      – SubjectFull: Semiseparable matrices
        Type: general
    Titles:
      – TitleFull: Matrix Computations and Semiseparable Matrices : Linear Systems
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Raf Vandebril
      – PersonEntity:
          Name:
            NameFull: Marc Van Barel
      – PersonEntity:
          Name:
            NameFull: Nicola Mastronardi
      – PersonEntity:
          Name:
            NameFull: Raf Vandebril
      – PersonEntity:
          Name:
            NameFull: Marc Van Barel
      – PersonEntity:
          Name:
            NameFull: Nicola Mastronardi
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2008
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780801887147
            – Type: isbn-electronic
              Value: 9780801896798
          Numbering:
            – Type: volume
              Value: 00001
          Titles:
            – TitleFull: Matrix Computations and Semiseparable Matrices : Linear Systems
              Type: main
ResultId 1