Name
Title | ||
|---|---|---|
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. |
Abstract | ||
|---|---|---|
Almost block diagonal (ABD) linear systems arise in a variety of contexts, specifically in numerical methods for two-point boundary value problems for ordinary differential equations and in related partial differential equation problems. The stable, efficient sequential solution of ABDs has received much attention over the last fifteen years and the parallel solution more recently. We survey the fields of application with emphasis on how ABDs and bordered ABDs (BABDs) arise. We outline most known direct solution techniques, both sequential and parallel, and discuss the comparative efficiency of the parallel methods. Finally, we examine parallel iterative methods for solving BABD systems. Copyright (C) 2000 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1002/1099-1506(200007/08)7:5<275::AID-NLA198>3.0.CO;2-G | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
almost block diagonal systems,direct algorithms,iterative algorithms,parallel computing,boundary value problems,collocation methods,finite difference methods,multiple shooting methods | Boundary value problem,Mathematical optimization,Linear system,Mathematical analysis,Finite difference method,Mathematics,Block matrix | Journal |
Volume | Issue | ISSN |
7 | 5 | 1070-5325 |
Citations | PageRank | References |
15 | 0.99 | 41 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierluigi Amodio | 1 | 86 | 16.20 |
| J. R. Cash | 2 | 19 | 2.03 |
| george roussos | 3 | 15 | 0.99 |
| R. W. Wright | 4 | 15 | 0.99 |
| Graeme Fairweather | 5 | 165 | 40.42 |
| Ian Gladwell | 6 | 66 | 12.63 |
| G. L. Kraut | 7 | 15 | 0.99 |
| Marcin Paprzycki | 8 | 939 | 146.39 |