Ascent and descent cones of ordered median block functions.

In this paper, we study properties of a special class of ordered median functions, called block-functions. These are ordered median functions which belong to a generating binary (row)-vector of the form <inline-graphic></inline-graphic> called a block vector. The aim of this paper is to explicitly determine the simplicial complexes and all steepest descent and ascent directions of descent and ascent cones of ordered median block-function. [ABSTRACT FROM AUTHOR]