On full spark frames in Hilbert spaces

A frame for an N-dimensional Hilbert space H is said to be a full spark frame if any N of its vectors form a basis for H. In this talk we present a characterization of full spark frames in terms of certain totally nonsingular matrices. Also, we construct a family of infinite totally positive matrices which are a subclass of the class of totally nonsingular matrices. This is a joint work with Damir Bakić.