Name
Abstract | ||
|---|---|---|
We investigate the factored alternating directions implicit (ADI) iteration for large and sparse Sylvester equations. A novel low-rank expression for the associated Sylvester residual is established which enables cheap computations of the residual norm along the iteration, and which yields a reformulated factored ADI iteration. The application to generalized Sylvester equations is considered as well. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2014.03.004 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Sylvester equation,Alternating directions implicit,Numerical enhancement,Stein equation | Alternating direction implicit method,Residual,Mathematical optimization,Sylvester equation,Complex number,Matrix (mathematics),Mathematical analysis,Gramian matrix,Iterated function,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
67 | 9 | 0898-1221 |
Citations | PageRank | References |
6 | 0.48 | 19 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peter Benner | 1 | 825 | 114.06 |
| Patrick Kürschner | 2 | 37 | 5.29 |