A spectral function on a formally real Jordan algebra is a real-valued function which depends only on the eigenvalues of its argument. One convenient way to create them is to start from a function f : Rexp.r [arrow] R which is symmetric in the components of its argument, and to define the...

Abstract In this paper, we present a simple proof of a result, which has useful applications in the context of shock models that are important in reliability theory. Though the result can be easily proved using properties of totally positive functions, we introduce a new idea which enables us to...

A basic algorithm for the minimization of a differentiable convex function (in particular, a strictly convex quadratic function) defined on the convex hull of m points in R <Superscript> n </Superscript> is outlined. Each iteration of the algorithm is implemented in barycentric coordinates, the number of which is equal to...</superscript>

A basic algorithm for the minimization of a differentiable convex function (in particular, a strictly convex quadratic function) defined on the convex hull of m points in R n is outlined. Each iteration of the algorithm is implemented in barycentric coordinates, the number of which is equal to...