The design and implementation of the parallel out-of-core ScaLAPACK LU, QR and Cholesky factorization routines

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This paper describes the design and implementation of three core factorization routines--LU, QR and Cholesky--included in the out-of-core extension of ScaLAPACK. These routines allow the factorization and solution of a dense system that is too large to fit entirely in physical memory. An image of the full matrix is maintained on disk and the factorization routines transfer sub-matrices into memory. The left-looking column-oriented variant of the factorization algorithm is implemented to reduce the disk I/O traffic. The routines are implemented using a portable I/O interface and utilize high performance ScaLAPACK factorization routines as in-core computational kernels. The authors present the ... continued below

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24 p.

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D`Azevedo, E.F. & Dongarra, J.J. April 1, 1997.

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Description

This paper describes the design and implementation of three core factorization routines--LU, QR and Cholesky--included in the out-of-core extension of ScaLAPACK. These routines allow the factorization and solution of a dense system that is too large to fit entirely in physical memory. An image of the full matrix is maintained on disk and the factorization routines transfer sub-matrices into memory. The left-looking column-oriented variant of the factorization algorithm is implemented to reduce the disk I/O traffic. The routines are implemented using a portable I/O interface and utilize high performance ScaLAPACK factorization routines as in-core computational kernels. The authors present the details of the implementation for the out-of-core ScaLAPACK factorization routines, as well as performance and scalability results on the Intel Paragon.

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24 p.

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OSTI as DE98054626

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  • Other Information: PBD: Apr 1997

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  • Other: DE98054626
  • Report No.: ORNL/TM--13372
  • Grant Number: AC05-96OR22464
  • DOI: 10.2172/296722 | External Link
  • Office of Scientific & Technical Information Report Number: 296722
  • Archival Resource Key: ark:/67531/metadc688597

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  • April 1, 1997

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  • July 25, 2015, 2:20 a.m.

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  • Aug. 25, 2016, 2:39 p.m.

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Thumbnail image of item number 1 in: 'The design and implementation of the parallel out-of-core ScaLAPACK LU, QR and Cholesky factorization routines'.
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D`Azevedo, E.F. & Dongarra, J.J. The design and implementation of the parallel out-of-core ScaLAPACK LU, QR and Cholesky factorization routines, report, April 1, 1997; Tennessee. (digital.library.unt.edu/ark:/67531/metadc688597/: accessed April 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.