Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results
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Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results
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1997
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Abstract
Solving large sparse systems of linear equations is at the core of many problems in engineering
and scientific computing. It has long been a challenge to develop parallel formulations of
sparse direct solvers due to several different complex steps involved in the process. In this
paper, we describe one of the first efficient, practical, and robust parallel solvers for sparse
symmetric positive definite linear systems that we have developed and discuss the algorithmic
and implementation issues involved in its development.
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This work was supported by NSF CCR-9423082, by Army Research Office contract DA/DAAH04-95-
1-0538, by Army High Performance Computing Research Center cooperative agreement number DAAH04-
95-2-0003/contract number DAAH04-95-C-0008, by the IBM Partnership Award, and by the IBM SUR
equipment grant. Access to computing facilities was provided by AHPCRC, Minnesota Supercomputer
Institute.
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Gupta, Anshul; Gustavson, Fred; Joshi, Mahesh; Karypis, George; Kumar, Vipin. (1997). Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/215322.
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