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Matrix Preconditioning Techniques and Applications

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Title: Matrix Preconditioning Techniques and Applications
Description: Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers'understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.
Authors: Ke Chen
Resource Type: eBook.
Subjects: Differential equations--Numerical solutions--Data processing, Iterative methods (Mathematics)--Data processing, Integral equations--Numerical solutions--Data processing, Sparse matrices--Data processing
Categories: MATHEMATICS / Differential Equations / General, MATHEMATICS / Matrices
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 138963
RelevancyScore: 998
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 998.4384765625
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  Data: Matrix Preconditioning Techniques and Applications
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  Data: Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers'understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike.
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  BibEntity:
    Classifications:
      – Code: 515.35
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential equations--Numerical solutions--Data processing
        Type: general
      – SubjectFull: Iterative methods (Mathematics)--Data processing
        Type: general
      – SubjectFull: Integral equations--Numerical solutions--Data processing
        Type: general
      – SubjectFull: Sparse matrices--Data processing
        Type: general
    Titles:
      – TitleFull: Matrix Preconditioning Techniques and Applications
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Ke Chen
      – PersonEntity:
          Name:
            NameFull: Ke Chen
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2005
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521838283
            – Type: isbn-electronic
              Value: 9780511115585
          Numbering:
            – Type: volume
              Value: 00019
          Titles:
            – TitleFull: Matrix Preconditioning Techniques and Applications
              Type: main
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