Title
A Fast Implementation of the Minimum Degree Algorithm Using Quotient Graphs
Abstract
This paper describes a very fast implementation of the m~n~mum degree algorithm, which is an effective heuristm scheme for fmding low-fill ordermgs for sparse positive definite matrices. This implementation has two important features: first, in terms of speed, it is competitive with other unplementations known to the authors, and, second, its storage requirements are independent of the amount of fill suffered by the matrix during its symbolic factorization. Some numerical experiments which compare the performance of this new scheme to some existing minimum degree programs are provided.
Year
DOI
Venue
1980
10.1145/355900.355906
ACM Trans. Math. Softw.
Keywords
Field
DocType
graph algo-,quotient graphs,fast implementation,sparse linear equations,ordering algoritl~ms,minimum degree algorithm,linear equations
Discrete mathematics,Graph,Mathematical optimization,Matrix (mathematics),Positive-definite matrix,Quotient,Minimum degree algorithm,Symbolic factorization,Mathematics
Journal
Volume
Issue
ISSN
6
3
0098-3500
Citations 
PageRank 
References 
16
21.30
1
Authors
2
Name
Order
Citations
PageRank
Alan George112063.94
Joseph W. H. Liu2829217.74