On the polyhedral cones of convex and concave vectors

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2014
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
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.
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Mathematics for Applications. 2014, 3, č. 2, s. 91-96. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_foldes_major.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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