Title
Parallel solution of narrow banded diagonally dominant linear systems
Abstract
ScaLAPACK contains a pair of routines for solving systems which are narrow banded and diagonally dominant by rows. Mathematically, the algorithm is block cyclic reduction. The ScaLAPACK implementation can be improved using incomplete, rather than complete block cyclic reduction. If the matrix is strictly dominant by rows, then the truncation error can be bounded directly in terms of the dominance factor and the size of the partitions. Our analysis includes new results applicable in our ongoing work of developing an efficient parallel solver.
Year
DOI
Venue
2010
10.1007/978-3-642-28145-7
parallel computing
Keywords
DocType
Volume
cyclic reduction,truncation error,dominance factor,new result,parallel solution,diagonally dominant linear system,complete block cyclic reduction,scalapack implementation,ongoing work,efficient parallel solver,computer science
Conference
7134
ISSN
Citations 
PageRank 
0302-9743
1
0.39
References 
Authors
5
2
Name
Order
Citations
PageRank
Carl Christian Kjelgaard Mikkelsen1113.57
Bo Kågström21045189.17