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 λ = (0, 0, . . , 0, 1, 1, . . , 1, 0, 0, . . , 0) ∈ Rn, 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.
- ascent- and descent directions
- convex analysis
- Ordered median functions