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| Computing the Structural Index | |
| I. S. Duff; C. W. Gear | |
| 1986 | |
| Source | SIAM Journal on Matrix Analysis and Applications
 |
| Volume | 7Issue:4Pages:594-603 |
| English Abstract | 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. |
| Indexed Type | 其他 |
| Cooperation Status | 其它 |
| Keyword | Sparse Matrices Transversals Differential/algebraic Equations Matrix Index Index Of Nilpotency |
| Language | 英语 |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/1317 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| bj01133789.pdf（628KB） | 开放获取 | License | Application Full Text | |||
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