Full spark frames and totally positive matrices

Let H be an N-dimensional Hilbert space. A frame for H is said to be a full spark frame if any N of its members make up a basis for H. In this talk we present a connection between full spark frames and totally nonsingular matrices. We also provide a method for constructing infinite totally positive matrices which are a subclass of the class of totally nonsingular matrices. This is a joint work with Damir Bakić.