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Digraph based determination of Jordan block size structure of singular matrix pencils

✍ Scribed by Klaus Röbenack; Kurt J. Reinschke

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 746 KB
Volume: 275-276
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)10023-4

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✦ Synopsis

The generic Jordan block sizes corresponding to multiple characteristic roots at zero and at infinity of a singular matrix pencil will be determined graph-theoretically. An application of this technique to detect certain controllability properties of linear time-invariant differential algebraic equations is discussed.

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Graph-theoretically determined Jordan-block-size structure of regular matrix pencils

✍ Klaus Röbenack; Kurt J. Reinschke 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 663 KB

The authors investigate the sizes of Jordan blocks of regular matrix pencils by means of a one-to-one correspondence between a matrix pencil ()rE +/,A) and a weighted digraph G(E, A). Based on the relationship between determinantal divisors of a pencil and spanning-cycle families of the associated d