On the polyhedral cones of convex and concave vectors
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Convex or concave sequences of n positive terms, viewed as vectors in n-space, constitute convex cones with 2n − 2 and n extreme rays, respectively. Explicit description is given of vectors spanning these extreme rays, as well as of non-singular linear transformations between the positive orthant and the simplicial cones formed by the positive concave vectors. The simplicial cones of monotone convex and concave vectors can be described similarly.
Document typePeer reviewed
Document versionFinal PDF
SourceMathematics for Applications. 2014, 3, č. 2, s. 91-96. ISSN 1805-3629.
- 2014/2