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.
Author: | Mohammad AdmORCiDGND, Khawla Al Muhtaseb, Ayed Abedel Ghani, Shaun M. FallatGND, Jürgen GarloffORCiDGND |
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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): | ![]() |