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.
