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Companion factorization in the general linear group and applications

✍ Scribed by J. Abderramán Marrero; M. Rachidi

Book ID
104039284
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
218 KB
Volume
434
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

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Spectral structures of the generalized companion form and applications
✍ Liansheng Tan; A.C. Pugh 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 124 KB

In this note, we investigate the relationship between the ÿnite and inÿnite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalized companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is base

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Presentations of the Special and General Linear Groups
✍ T.A. Francis 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 691 KB

If \(R\) is a division ring and \(n \geq 2\), then we give an elegant, basis free, presentation for the general linear group \(G L_{n}(R)\) in terms of transvections and dilations. In case \(R\) is a field, we give a similar presentation for \(S L_{n}(R)\), but now purely in terms of transvections.