• DocumentCode
    1150587
  • Title

    A Parallel Jacobi Diagonalization Algorthm for a Loop Multiple Processor System

  • Author

    Whiteside, Robert A. ; Ostlund, Neil S. ; Hibbard, Peter G.

  • Author_Institution
    Departments of Computer Science and Chemistry, Carnegie-Mellon University
  • Issue
    5
  • fYear
    1984
  • fDate
    5/1/1984 12:00:00 AM
  • Firstpage
    409
  • Lastpage
    413
  • Abstract
    A parallel algorithm for the solution of the eigen-value problem by the Jacobi method is described. At each step of the algorithm, n/2 off-diagonal elements of the n xn matrix are annihilated simultaneously. Furthermore, because of the regular pattern of interprocessor communication, this algorithm is suitable for efficient implementation on a simple loop multiple processor system.
  • Keywords
    Eigenvalue problem; Jacobi diagonalization; multiprocessing; parallel algorithms; systolic loop; Communication channels; Computer architecture; Computer science; Eigenvalues and eigenfunctions; Hardware; Iterative algorithms; Jacobian matrices; Joining processes; Nearest neighbor searches; Parallel algorithms; Eigenvalue problem; Jacobi diagonalization; multiprocessing; parallel algorithms; systolic loop;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1984.1676457
  • Filename
    1676457