A linear algebra approach to the differentiation index of generic DAE systems-Reference-Cited by-同舟云学术

A linear algebra approach to the differentiation index of generic DAE systems

Published:2008-10-28 Issue:6 Volume:19 Page:441-473
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

D’Alfonso Lisi,Jeronimo Gabriela,Solernó Pablo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00200-008-0083-z.pdf

Reference37 articles.

1. Atiyah M., Macdonald I.: Introduction to Commutative Algebra. Addison-Wesley, Reading (1969)

2. Brenan K., Campbell S., Petzold L.: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. SIAM’s Classics in Applied Mathematics, Philadelphia (1996)

3. Campbell S., Gear W.: The index of general nonlinear DAE’s. Numerische Mathematik 72, 173–196 (1995)

4. Carrà Ferro, G.: Some upper bounds for the multiplicity of an autoreduced subset of N m and its applications. In: Calmet, J. (ed.) Algebraic Algorithms and Error Correcting Codes, AAECC-3, Grenoble, July 1985, Lectecture Notes in Computer Science, vol. 229, pp. 306–315 (1986)

5. Cartan E.: Les Systèmes Différentiels Extérieurs et leurs Applications Geométriqués. Hermann, Paris (1946)

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