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Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm by Xian He Sun

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1NASA Technical Reports Server (NTRS) 19930013984: Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm

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The Parallel Diagonal Dominant (PDD) algorithm is a highly efficient, ideally scalable tridiagonal solver. In this paper, a detailed study of the PDD algorithm is given. First the PDD algorithm is introduced. Then the algorithm is extended to solve periodic tridiagonal systems. A variant, the reduced PDD algorithm, is also proposed. Accuracy analysis is provided for a class of tridiagonal systems, the symmetric, and anti-symmetric Toeplitz tridiagonal systems. Implementation results show that the analysis gives a good bound on the relative error, and the algorithm is a good candidate for the emerging massively parallel machines.

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  • Title: ➤  NASA Technical Reports Server (NTRS) 19930013984: Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 20.77 Mbs, the file-s for this book were downloaded 78 times, the file-s went public at Sun Oct 02 2016.

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2DTIC ADA263151: Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm

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The Parallel Diagonal Dominant (PDD) algorithm is a highly efficient, ideally scalable tridiagonal solver. In this paper, a detailed study of the PDD algorithm is given. First the PDD algorithm is introduced. Then the algorithm is extended to solve periodic tridiagonal systems. A variant, the reduced PDD algorithm, is-also proposed. Accuracy analysis is provided for a class of tridiagonal systems, the symmetric and anti-symmetric Toeplitz tridiagonal systems. Implementation results show that the analysis gives a good bound on the relative error, and the algorithm is a good candidate for the emerging massively parallel machines.... Parallel processing, Parallel numerical algorithm, Scalable computing, Tridiagonal system, Toeplitz systems.

“DTIC ADA263151: Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm” Metadata:

  • Title: ➤  DTIC ADA263151: Applications And Accuracy Of The Parallel Diagonal Dominant Algorithm
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 16.19 Mbs, the file-s for this book were downloaded 65 times, the file-s went public at Sat Mar 10 2018.

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