Computing the Structural Index
文献类型：期刊论文
| 作者 | I. S. Duff ; C. W. Gear |
| 刊名 | SIAM Journal on Matrix Analysis and Applications
 |
| 出版日期 | 1986 |
| 卷号 | 7期号:4页码:594-603 |
| 关键词 | sparse matrices transversals differential/algebraic equations matrix index index of nilpotency |
| 合作状况 | 其它 |
| 英文摘要 | The index of many differential/algebraic equations (DAEs) is determined by the structure of the system, that is, by the pattern of nonzero entries in the Jacobians. This paper considers an important subclass of DAEs which can be solved by backward differentiation methods if their index does not exceed two. For this reason, it is desirable to determine whether the index exceeds two or not. In this paper we present an algorithm that determines if the index is one, two, or greater, based only on the structure. The algorithm can be exponential in its execution time: we do not know whether it is possible to get an asymptotically faster algorithm. However, in many practical problems, this algorithm will execute in polynomial time. |
| 收录类别 | 其他 |
| 语种 | 英语 |
| 公开日期 | 2010-05-13 |
| 源URL | [http://124.16.136.157/handle/311060/1317]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | I. S. Duff,C. W. Gear. Computing the Structural Index[J]. SIAM Journal on Matrix Analysis and Applications,1986,7(4):594-603. |
| APA | I. S. Duff,&C. W. Gear.(1986).Computing the Structural Index.SIAM Journal on Matrix Analysis and Applications,7(4),594-603. |
| MLA | I. S. Duff,et al."Computing the Structural Index".SIAM Journal on Matrix Analysis and Applications 7.4(1986):594-603. |
入库方式： OAI收割
来源：软件研究所
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