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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
Parent Title (English):Linear Algebra and its Applications
Document Type:Article
Year of Publication:2018
Release Date:2019/01/10
Tag:Cauchon algorithm; Cauchon diagram; Cauchon matrix; Rank
First Page:240
Last Page:255
Institutes:Institut für Angewandte Forschung - IAF
DDC functional group:500 Naturwissenschaften und Mathematik / 510 Mathematik
Relevance:Peer reviewed Publikation in Thomson-Reuters-Listung
Open Access?:Nein
Licence (English):License LogoLizenzbedingungen Elsevier