It is shown that vertex stability implies Schur D-stability for real 2 x 2 matrices and real n x n tridiagonal matrices. Additional results describing the class of n x n complex Schur D-stable matrices are given.
Classes of Schur D-stable matrices
โ Scribed by R. Fleming; G. Grossman; T. Lenker; S. Narayan; S.-C. Ong
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 91 KB
- Volume
- 306
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
It is shown that vertex stability implies Schur D-stability for real 3 ร 3 matrices. Also, principally nilpotent n ร n complex matrices are shown to be perfectly Schur D -stable, and additional characterizations of these matrices are given.
๐ SIMILAR VOLUMES
This paper extends some results on the structure of subsets of the set of stable matrices. For these subsets, different characterizations are obtained using the set product, defined in this paper, as well as inertia and algebraic characterizations for low dimensions (2ร2 and 3ร3 matrices). Some incl