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Analyzing Data Structures for Parallel Sparse Direct Solvers: Pivoting and Fill-In (1996)  (Make Corrections)  (2 citations)
J. Tourino, R. Doallo, R. Asenjo, O. Plata, E.L. Zapata



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Abstract: This paper addresses the problem of the parallelization of sparse direct methods for the solution of linear systems in distributed memory multiprocessors. Sparse direct solvers include pivoting operations and suffer from fill-in, problems that turn the efficient parallelization into a challenging task. We present some data structures to store the sparse matrices that permit to deal in a efficient way with both problems. These data structures have been evaluated on a Cray T3D, implementing, in... (Update)

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.... compact representations were called LLRCS (Linked List Row Column Storage) and LLCS (Linked List Column Storage) or LLRS for rows) in [54,3]. Figure 3 depicts an HPF declarative section for the parallel sparse LU code (only the HPF directives are shown) Matrix A is defined as...

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Sparse Matrix Operations in Vector and - Parallel Processors Doallo   (Correct)
Data-Parallel Support for Numerical Irregular Problems - Zapata, Plata, Asenjo.. (1999)   (Correct)

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BibTeX entry:   (Update)

J. Touri~no, R. Doallo, R. Asenjo, O. Plata and E.L. Zapata, Analyzing Data Structures for Parallel Sparse Direct Solvers: Pivoting and Fill-In, 6th Workshop on Compilers for Parallel Computers, (Aachen, Germany, December 1996) 151-- 168. http://citeseer.ist.psu.edu/tourino96analyzing.html   More

@misc{ no96analyzing,
  author = "J. no and R. Doallo and R. Asenjo and O. Plata and E. Zapata",
  title = "Analyzing Data Structures for Parallel Sparse Direct Solvers: Pivoting
    and Fill",
  text = "J. Touri~no, R. Doallo, R. Asenjo, O. Plata and E.L. Zapata, Analyzing
    Data Structures for Parallel Sparse Direct Solvers: Pivoting and Fill-In,
    6th Workshop on Compilers for Parallel Computers, (Aachen, Germany, December
    1996) 151-- 168.",
  year = "1996",
  url = "citeseer.ist.psu.edu/tourino96analyzing.html" }
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744   Matrix Computations (context) - Golub, van Loan - 1991
417   Templates for the Solution of Linear Systems: Building Block.. - Barret, Berry et al. - 1994
322   Direct Methods for Sparse Matrices (context) - Duff, Erisman et al. - 1986
248   Solving Linear Systems on Vector and Shared Memory Computers (context) - Dongarra, Duff et al. - 1991
218   Iterative Solution of Large Linear Systems (context) - Young - 1971
86   Vienna Fortran -- A Language Specification (context) - Zima, Brezany et al. - 1992
71   Fortran D Language Specification - Fox, Hiranandani et al. - 1990
54   The Elimination Form of the Inverse and its Application to L.. (context) - Markowitz - 1957
47   Runtime Support And Compilation Methods For User-Specified D.. - Ponnusamy, Saltz et al. - 1995
45   Data Distributions for Sparse Matrix Vector Multiplication - Romero, Zapata - 1995
38   A Manual for the CHAOS Runtime Library - Saltz, Ponnusamy et al. - 1995
13   Sparse Block and Cyclic Data Distributions for Matrix Comput.. - Asenjo, Romero et al. - 1995
12   Sparse Numerical Linear Algebra: Direct Methods and Precondi.. - Duff - 1996
7   Parallel Sparse Modified GramSchmidt QR Decomposition - Doallo, Fraguela et al. - 1996
7   Exploiting Locality on Parallel Sparse Matrix Computations - Trabado, Zapata - 1995
7   The Design of MA48, A Code for the Direct Solution of Sparse.. (context) - Duff, Reid - 1996
7   Sparse Householder QR Factorization on a Mesh - Doallo, no et al. - 1996
7   The CRAFT Fortran Programming Model (context) - Pase, MacDonald et al. - 1994
5   Sparse Givens QR Factorization on a Multiprocessor - no, Doallo et al. - 1996
3   Numerical Methods for Differential Equations (context) - Ortega, Poole - 1981
3   Parallel Solution of Sparse Systems of Linear Equations on a.. (context) - Koster - 1993
2   Compilation Issues for Irregular Problems - Asenjo, Trabado et al. - 1996
2   Sparse LU Factorization on the Cray T3D (context) - Asenjo, Zapata - 1995
2   SHMEM User's Guide for Fortran, Rev. 2.2 (context) - Barriuso, Knies - 1994
2   MA48, a Fortran Code for Direct Solution of Sparse Unsymmetr.. (context) - Duff, Reid - 1993
1   High Performance Language Specification, Ver. 1.0 (context) - Fortran - 1993
1   Cray T3D. Technical Summary (context) - Research - 1993
1   Experimental Evaluation of Efficient Sparse Matrix Distribut.. (context) - Ujald'on, Sharma et al. - 1996
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