Generalized totally positive matrices

Oscillation Properties of Generalized Characteristic Polynomials for Totally Positive and Positive Definite Matrices

Immanants of Totally Positive Matrices Are Nonnegative

If/ is an irreducible character of Sn, these functions are known as immanants; if/ is an irreducible character of some subgroup G of Sn (extended trivially to all of Sn by defining /(vv) = 0 for w$G), these are known as generalized matrix functions. Note that the determinant and permanent are obtained by choosing / to be the sign character and trivial character of Sn, respectively. We should po...

Totally Positive Density Matrices and Linear Preservers

The intersection between the set of totally nonnegative matrices, which are of interest in many areas of matrix theory and its applications, and the set of density matrices, which provide the mathematical description of quantum states, are investigated. The single qubit case is characterized, and several equivalent conditions for a quantum channel to preserve the set in that case are given. Hig...

On totally positive matrices and geometric incidences

Article history: Received 3 September 2013 Available online xxxx

Ela Zero Minors of Totally Positive Matrices

In this paper the structure of the zero minors of totally positive matrices is studied and applications are presented.