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Title: On finding supernodes for sparse matrix computations

Technical Report ·
DOI:https://doi.org/10.2172/6756314· OSTI ID:6756314
 [1]; ;  [2]
  1. York Univ., Toronto, ON (Canada). Dept. of Computer Science
  2. Oak Ridge National Lab., TN (USA)

A simple characterization of fundamental supernodes is given in terms of the row subtrees of sparse Cholesky factors in the elimination tree. Using this characterization, we present an efficient algorithm that determines the set of such supernodes in time proportional to the number of nonzeros and equations in the original matrix. Experimental results are included to demonstrate the use of this algorithm in the context of sparse supernodal symbolic factorization. 18 refs., 3 figs., 3 tabs.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
DOE/ER
DOE Contract Number:
AC05-84OR21400
OSTI ID:
6756314
Report Number(s):
ORNL/TM-11563; ON: DE90013626
Country of Publication:
United States
Language:
English