(Enter summary)
Abstract: ction and multisection. The latter two orderings depend on a domain/separator tree
that is constructed using a graph partitioning method. Domain decomposition is used to
find an initial separator, and a sequence of network flow problems are solved to smooth the
separator. The qualities of our nested dissection and multisection orderings are comparable
to other state of the art packages.
Factorizations of square matrices have the form A = PLDUQ and A = PLDL
T
P
T
,
where P and Q are... (Update)
Cited by: More
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Active bibliography (related documents): More All
0.8: The User Manual for SPOOLES: Release 2.0: An Object.. - Ashcraft, Grimes.. (1998)
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0.2: A High Performance Two Dimensional Scalable Parallel Algorithm .. - Mahesh Joshi (1997)
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0.2: PSPASES: Scalable Parallel Direct Solver Library for.. - Joshi, Karypis, Kumar
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0.4: The Reference Manual for SPOOLES, Release 2.2: An Object .. - Ashcraft, Pierce, Wah.. (1999)
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0.2: Visualization for Large Collections of Multimedia Information - Himmel, Kao, Poteet (1998)
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0.2: Direct Solvers for Sparse Systems - Haunschmid, Ueberhuber (1999)
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BibTeX entry: (Update)
C. Ashcraft, R. Grimes, SPOOLES: an object-oriented sparse matrix library, 9th SIAM Conference on Parallel Processing for Scientific Computing, March 1999, San Antonio, Texas. http://citeseer.ist.psu.edu/ashcraft99spooles.html More
@misc{ ashcraft99spooles,
author = "C. Ashcraft and R. Grimes",
title = "SPOOLES: an object-oriented sparse matrix library",
text = "C. Ashcraft, R. Grimes, SPOOLES: an object-oriented sparse matrix library,
9th SIAM Conference on Parallel Processing for Scientific Computing, March
1999, San Antonio, Texas.",
year = "1999",
url = "citeseer.ist.psu.edu/ashcraft99spooles.html" }
Citations (may not include all citations):
165
Sandia National Laboratories (context) - Hendrickson, Leland et al. - 1993
126
The multifrontal solution of indefinite sparse symmetric lin.. (context) - Du, Reid - 1983
74
Modification of the minimum degree algorithm by multiple eli.. (context) - Liu - 1985
57
Highly scalable parallel algorithms for sparse matrix factor..
- Gupta, Karypis et al. - 1997
42
Improving the runtime and quality of nested dissection order..
- Hendrickson, Rothberg - 1998
40
Multifrontal parallel distributed symmetric and unsymmetric ..
- Amestoy, Du et al. - 1998
33
A fan-in algorithm for distributed sparse numerical factoriz.. (context) - Ashcraft, Eisenstat et al. - 1990
30
Robust ordering of sparse matrices using multisection
- Ashcraft, Liu - 1998
29
Unstructured graph partitioning and sparse matrix ordering s.. (context) - Karypis, Kumar - 1998
28
Accurate symmetric indefinite linear equation solvers (context) - Ashcraft, Grimes et al. - 1995
17
The fan-both family of column-based distributed Cholesky fac.. (context) - Ashcraft - 1993
17
Scalability of sparse direct solvers (context) - Schreiber - 1993
4
Design and implementation of a scalable parallel direct solv..
- Gupta, Gustavson et al. - 1997
4
A geometric analysis of Gaussian elimination II (context) - Neal, Poole - 1992
2
Communication reduction in parallel sparse Cholesky on a hyp.. (context) - Heath - 1987
1
The growth factor and e#ciency of Gaussian elimination with .. (context) - Foster
1
A compute-ahead fan-in scheme for parallel sparse matrix fac.. (context) - Ashcraft, Eisenstat et al. - 1990
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://elib.zib-berlin.de/netlib/linalg/spooles/spooles.2.2.html):
The Reference Manual for SPOOLES, Release 2.2: An Object .. - Ashcraft, Pierce, Wah.. (1999)
(Correct)
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