Title
Jacobi-type algorithms for LDU and Cholesky factorization
Abstract
:It is demonstrated how conventional algorithms for computingthe LDU decomposition of a square matrix, or Choleskyfactorization for symmetric positive definite matrices, can bere-ordered into Jacobi-type algorithms. For efficient parallelimplementation on a systolic array, the resulting schemescompare favorably with earlier implementations.List of symbols :Matrices are denoted by capitals A, X, etc., sometimes with an iterationindex X 1 , X 2 , etc.X i;j denotes the (i; j)...
Year
DOI
Venue
1991
10.1016/0743-7315(91)90114-O
J. Parallel Distrib. Comput.
Keywords
Field
DocType
jacobi-type algorithm,cholesky factorization,systolic array
Algebra,Incomplete Cholesky factorization,Computer science,Matrix (mathematics),Matrix decomposition,Minimum degree algorithm,Positive-definite matrix,Square matrix,Algorithm,Factorization,Cholesky decomposition
Journal
Volume
Issue
ISSN
13
1
Journal of Parallel and Distributed Computing
Citations 
PageRank 
References 
1
0.63
0
Authors
3
Name
Order
Citations
PageRank
Marc Moonen137746.79
Paul van Dooren264990.48
Joos Vandewalle34420523.42