TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) A1 - Adm, Mohammad A1 - Al Muhtaseb, Khawla A1 - Ghani, Ayed Abedel A1 - Fallat, Shaun M. A1 - Garloff, Jürgen T1 - Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization JF - Linear Algebra and its Applications N2 - 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. KW - Rank KW - Cauchon matrix KW - Cauchon diagram KW - Cauchon algorithm Y1 - 2018 UN - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-14604 SN - 0024-3795 SS - 0024-3795 SN - 1873-1856 SS - 1873-1856 U6 - https://doi.org/10.1016/j.laa.2018.01.035 DO - https://doi.org/10.1016/j.laa.2018.01.035 VL - 545 SP - 240 EP - 255 ER -