چکیده (انگلیسی):

A real matrix A, of size m × n, is called totally nonnegative (totally positive) if all its minors are nonnegative (positive). A variant of the Neville elimination process is studied in relation to the existence of a totally nonnegative elementary bidiagonal factorization of A. The class of quasi-oscillatory rectangular matrices,
which in the square case contains the oscillatory matrices, is introduced and a characterization of this class of matrices, by incorporating bidiagonal factorization, is showed.