A simpler construction of the matrix chain defining the tractability index of linear DAEs

✍ Scribed by Ricardo Riaza; Roswitha März

• Book ID: 104000383
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 203 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.05.003

✦ Synopsis

This letter introduces a new characterization of the tractability index for linear differential-algebraic equations (DAEs). The matrix function chain defining the index is built in a simpler manner which relies upon invariant spaces. In particular, the construction can be easily performed in terms of orthogonal projectors. A clearer characterization of the tractability index results, and a simple description of the Kronecker index is obtained for the constant coefficient case. An example coming from circuit theory illustrates the new construction.