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Making Static Pivoting Dependable

by: E. Jason Riedy

Livermore, CA: (March 2006) .

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URL:	http://purl.oclc.org/NET/jason-riedy/resume/material/bascd2006-poster.pdf

For sparse LU factorization, dynamic pivoting tightly couples symbolic and numerical computation. Dynamic structural changes limit parallel scalability. Demmel and Li use static pivoting in distributed SuperLU for performance, but intentionally perturbing the input may lead silently to erroneous results. Are there experimentally stable static pivoting heuristics that lead to a dependable direct solver? The answer is currently a qualified yes. Current heuristics fail on a few systems, but all failures are detectable.

BibTeX record

@misc{bascd2006-poster,
  abstract = {For sparse LU factorization, dynamic pivoting
                  tightly couples symbolic and numerical
                  computation. Dynamic structural changes limit
                  parallel scalability.  Demmel and Li use static
                  pivoting in distributed SuperLU for performance, but
                  intentionally perturbing the input may lead silently
                  to erroneous results.  Are there experimentally
                  stable static pivoting heuristics that lead to a
                  dependable direct solver? The answer is currently a
                  qualified yes. Current heuristics fail on a few
                  systems, but all failures are detectable.  },
  added-at = {2007-10-09T07:04:05.000+0200},
  address = {Livermore, CA},
  author = {Riedy, E. Jason},
  biburl = {http://www.bibsonomy.org/bibtex/2078793fd13f8c4998daa31f5a7cb2344/ejr},
  howpublished = {Seventh Bay Area Scientific Computing Day},
  interhash = {badb869003645347152adf42bb627fb0},
  intrahash = {078793fd13f8c4998daa31f5a7cb2344},
  keywords = {bascd linearalgebra sparsematrix},
  month = {March},
  role = {poster},
  timestamp = {2007-10-09T07:04:05.000+0200},
  title = {Making Static Pivoting Dependable},
  url = {http://purl.oclc.org/NET/jason-riedy/resume/material/bascd2006-poster.pdf},
  year = 2006
}

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BibSonomy :: publication ::

Making Static Pivoting Dependable

Resources (URL, PDF, PS...)

Abstract

BibTeX record

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