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3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method.

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Title: 3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method.
Authors: N. Takahashi, A. Muraoka, D. Miyagi, S. Fujino, K. Miyata, K. Ohashi
Source: COMPEL; 2007, Vol. 26 Issue 3, p828-841, 14p
Subject Terms: SIMULTANEOUS equations, MAGNETIC fields, MAGNETIC resonance imaging, STOCHASTIC convergence, PERMANENT magnets
Abstract: Purpose - The paper examines the convergence characteristics of the "minimized residual method based on the MRTR (three-term recurrence formula of CG-type) method" for solving large linear simultaneous equations. Design/methodology/approach - The paper uses an example of magnetic field analysis of permanent magnet type of MRI taking account of the minor loop and eddy current. Findings - It is shown that the preconditioned MRTR method can get a stable and quick convergence for such a relatively ill-conditioned problem. Originality/value - Illustrates that the convergence of the Incomplete Cholesky Conjugate Gradient method is one of the important issues in the practical 3D magnetic field analysis. [ABSTRACT FROM AUTHOR]
Copyright of COMPEL is the property of Emerald Publishing Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Complementary Index
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: 3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22N%2E++Takahashi%22">N. Takahashi</searchLink><br /><searchLink fieldCode="AR" term="%22A%2E++Muraoka%22">A. Muraoka</searchLink><br /><searchLink fieldCode="AR" term="%22D%2E++Miyagi%22">D. Miyagi</searchLink><br /><searchLink fieldCode="AR" term="%22S%2E++Fujino%22">S. Fujino</searchLink><br /><searchLink fieldCode="AR" term="%22K%2E++Miyata%22">K. Miyata</searchLink><br /><searchLink fieldCode="AR" term="%22K%2E++Ohashi%22">K. Ohashi</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: COMPEL; 2007, Vol. 26 Issue 3, p828-841, 14p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22SIMULTANEOUS+equations%22">SIMULTANEOUS equations</searchLink><br /><searchLink fieldCode="DE" term="%22MAGNETIC+fields%22">MAGNETIC fields</searchLink><br /><searchLink fieldCode="DE" term="%22MAGNETIC+resonance+imaging%22">MAGNETIC resonance imaging</searchLink><br /><searchLink fieldCode="DE" term="%22STOCHASTIC+convergence%22">STOCHASTIC convergence</searchLink><br /><searchLink fieldCode="DE" term="%22PERMANENT+magnets%22">PERMANENT magnets</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Purpose - The paper examines the convergence characteristics of the "minimized residual method based on the MRTR (three-term recurrence formula of CG-type) method" for solving large linear simultaneous equations. Design/methodology/approach - The paper uses an example of magnetic field analysis of permanent magnet type of MRI taking account of the minor loop and eddy current. Findings - It is shown that the preconditioned MRTR method can get a stable and quick convergence for such a relatively ill-conditioned problem. Originality/value - Illustrates that the convergence of the Incomplete Cholesky Conjugate Gradient method is one of the important issues in the practical 3D magnetic field analysis. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of COMPEL is the property of Emerald Publishing Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 828
    Subjects:
      – SubjectFull: SIMULTANEOUS equations
        Type: general
      – SubjectFull: MAGNETIC fields
        Type: general
      – SubjectFull: MAGNETIC resonance imaging
        Type: general
      – SubjectFull: STOCHASTIC convergence
        Type: general
      – SubjectFull: PERMANENT magnets
        Type: general
    Titles:
      – TitleFull: 3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method.
        Type: main
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          Name:
            NameFull: N. Takahashi
      – PersonEntity:
          Name:
            NameFull: A. Muraoka
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            NameFull: D. Miyagi
      – PersonEntity:
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            NameFull: S. Fujino
      – PersonEntity:
          Name:
            NameFull: K. Miyata
      – PersonEntity:
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            NameFull: K. Ohashi
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          Dates:
            – D: 19
              M: 06
              Text: 2007
              Type: published
              Y: 2007
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              Value: 03321649
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              Value: 26
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            – TitleFull: COMPEL
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