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) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
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| 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. – Name: Author Label: Authors Group: Au 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 Group: TypPub 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> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Matrices%22">MATHEMATICS / 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 |
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