Title
Exploiting structural symmetry in unsymmetric sparse symbolic factorization
Abstract
This paper shows how to exploit structural symmetry in determining the nonzero structures of the lower and upper triangular factors L and U of an unsymmetric sparse matrix A. Two symmetric reductions of the graphs of L and U are introduced and used to formulate symbolic factorization algorithms. Experimental results demonstrate the effectiveness of these algorithms versus other schemes in the literature.
Year
DOI
Venue
1992
10.1137/0613017
SIAM Journal on Matrix Analysis and Applications
Keywords
Field
DocType
unsymmetric sparse symbolic factorization,structural symmetry
Graph,Algebra,Matrix decomposition,Symbolic factorization,Triangular matrix,Sparse matrix,Mathematics
Journal
Volume
Issue
ISSN
13
1
0895-4798
Citations 
PageRank 
References 
15
3.20
2
Authors
2
Name
Order
Citations
PageRank
Stanley C. Eisenstat1870255.64
Joseph W. H. Liu2829217.74