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题名:
Computing the Structural Index
作者: I. S. Duff ; C. W. Gear
关键词: sparse matrices ; transversals ; differential/algebraic equations ; matrix index ; index of nilpotency
刊名: SIAM Journal on Matrix Analysis and Applications
发表日期: 1986
卷: 7, 期:4, 页:594-603
收录类别: 其他
合作性质: 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.
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/1317
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
I. S. Duff,C. W. Gear. Computing the Structural Index[J]. SIAM Journal on Matrix Analysis and Applications,1986-01-01,7(4):594-603.
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