@article{AdmAl MuhtasebGhanietal.2018, author = {Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel and Fallat, Shaun M. and Garloff, J{\"u}rgen}, title = {Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization}, journal = {Linear Algebra and its Applications}, volume = {545}, issn = {0024-3795}, doi = {10.1016/j.laa.2018.01.035}, institution = {Institut f{\"u}r Angewandte Forschung - IAF}, pages = {240 -- 255}, year = {2018}, abstract = {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.}, language = {en} }