On (A, B)t-invariant subspaces having extendible Brunovsky bases
✍ Scribed by A. Compta; J. Ferrer
- Book ID
- 104155907
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 832 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
We consider (A, BY-invariant subspaces having a Brunovsky basis which can be extended to a Brunovsky basis of the whole space. We obtain a geometrical characterization of this class of (A, BY-invariant subspaces, and a complete family of numerical invariants to classify them. 0 Elsevier Science Inc., 1997
1. Introduction
For A a square matrix, Gohberg et al. [6] introduce an "interesting class" of A-invariant subspaces, which they call "marked': an A-invariant subspace is marked if and only if it has a Jordan basis which can be extended to a Jordan basis of the space. The A-marked subspaces have been studied, for example, in [2] and [S].
Moreover, for (A, B) a pair of matrices, [6], [3] and other works define and study the (A, B&invariant subspaces and the (A, Bjf-invariant subspaces.