Name
Title | ||
|---|---|---|
Incomplete cyclic reduction of banded and strictly diagonally dominant linear systems |
Abstract | ||
|---|---|---|
The ScaLAPACK library contains a pair of routines for solving banded linear systems which are strictly diagonally dominant by rows. Mathematically, the algorithm is complete block cyclic reduction corresponding to a particular block partitioning of the system. In this paper we extend Heller's analysis of incomplete cyclic reduction for block tridiagonal systems to the ScaLAPACK case. We obtain a tight estimate on the significance of the off diagonal blocks of the tridiagonal linear systems generated by the cyclic reduction algorithm. Numerical experiments illustrate the advantage of omitting all but the first reduction step for a class of matrices related to high order approximations of the Laplace operator. |
Year | Venue | Keywords |
|---|---|---|
2011 | international conference on parallel processing | diagonal block,scalapack case,scalapack library,particular block,linear system,incomplete cyclic reduction,cyclic reduction algorithm,diagonally dominant linear system,complete block cyclic reduction,reduction step,block tridiagonal system,computing science,computer science |
DocType | Volume | ISSN |
Conference | 7203 | 0302-9743 |
Citations | PageRank | References |
1 | 0.37 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Carl Christian Kjelgaard Mikkelsen | 1 | 11 | 3.57 |
| Bo Kågström | 2 | 1045 | 189.17 |