Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization
- For a class of matrices connected with Cauchon diagrams, Cauchon matrices, and the Cauchon algorithm, a method for determining the rank, and for checking a set of consecutive row (or column) vectors for linear independence is presented. Cauchon diagrams are also linked to the elementary bidiagonal factorization of a matrix and to certain types of rank conditions associated with submatrices called descending rank conditions.
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| Author: | Mohammad AdmORCiDGND, Khawla Al Muhtaseb, Ayed Abedel Ghani, Shaun M. FallatGND, Jürgen GarloffORCiDGND |
|---|---|
| URN: | urn:nbn:de:bsz:kon4-opus4-14604 |
| DOI: | https://doi.org/10.1016/j.laa.2018.01.035 |
| ISSN: | 0024-3795 |
| ISSN: | 1873-1856 |
| Parent Title (English): | Linear Algebra and its Applications |
| Volume: | 545 |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2018 |
| Release Date: | 2019/01/10 |
| Tag: | Rank; Cauchon matrix; Cauchon diagram; Cauchon algorithm |
| First Page: | 240 |
| Last Page: | 255 |
| Institutes: | Institut für Angewandte Forschung - IAF |
| DDC functional group: | 510 Mathematik |
| Relevance: | Wiss. Zeitschriftenartikel reviewed: Listung in Positivlisten |
| Open Access?: | Nein |
| Licence (German): |  Urheberrechtlich geschützt |
