19 citations · 29 across the 17 of their papers we have counts for
4 papers · 1 filter
Matrices with totally positive powers and their generalizations
Olga Y. Kushel
In this paper, eventually totally positive matrices (i.e. matrices all whose powers starting with some point are totally positive) are studied. We present a new approach to eventua…
Generalized Brouncker's continued fractions and their logarithmic derivatives
O. Y. Kushel
In this paper, we study the continued fraction y(s,r) which satisfies the equation y(s,r)y(s+2r,r)=(s+1)(s+2r-1) for r > 1/2. This continued fraction is a generalization of the Bro…
Cone-theoretic generalization of total positivity
O. Y. Kushel
This paper is devoted to the generalization of the theory of total positivity. We say that a linear operator A in R^n is generalized totally positive (GTP), if its jth exterior pow…
Generalized even and odd totally positive matrices
O. Y. Kushel, P. Sharma
A generalization of the definition of an oscillatory matrix based on the theory of cones is given in this paper. The positivity and simplicity of all the eigenvalues of a generaliz…