Title
An Algebraic Multilevel Multigraph Algorithm
Abstract
We describe an algebraic multilevel multigraph algorithm. Many of the multilevel components are generalizations of algorithms originally applied to general sparse Gaussian elimination. Indeed, general sparse Gaussian elimination with minimum degree ordering is a limiting case of our algorithm. Our goal is to develop a procedure which has the robustness and simplicity of use of sparse direct methods, yet offers the opportunity to obtain the optimal or near-optimal complexity typical of classical multigrid methods.
Year
DOI
Venue
2002
10.1137/S1064827500381045
SIAM Journal on Scientific Computing
Keywords
Field
DocType
algebraic multilevel multigraph algorithm,near-optimal complexity,general sparse gaussian elimination,classical multigrid method,multilevel component,sparse direct method,minimum degree,direct method,incomplete lu factorization,algebraic multigrid
Mathematical optimization,Multigraph,Algebraic number,Generalization,Algorithm,Robustness (computer science),Incomplete LU factorization,Gaussian elimination,LU decomposition,Multigrid method,Mathematics
Journal
Volume
Issue
ISSN
23
5
1064-8275
Citations 
PageRank 
References 
16
1.35
13
Authors
2
Name
Order
Citations
PageRank
Randolph E. Bank123827.87
R. Kent Smith2586.39