Abstract

In this note we revisit a classical criterion obtained by Gantmacher and Krein for determining when a totally nonnegative matrix is actually oscillatory. A new proof of this criterion is presented by incorporating bidiagonal factorizations of invertible totally nonnegative matrices and utilizing certain associated weighted planar diagrams.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call