N. A. Lebedinskaya, D. M. Lebedinskii, A. A. Smirnov, “A Hilbert basis of the cone constructed from matrices describing generic situations”, Zap. Nauchn. Sem. POMI, 2018, Volume 472,Pages <nobr>195

A Hilbert basis of the cone constructed from matrices describing generic situations

N. A. Lebedinskaya^a, D. M. Lebedinskii^a, A. A. Smirnov^b

^a Saint Petersburg State University, 7/9 Universitetskaya Emb., 199034, Saint Petersburg, Russia
^b Mozhaisky Military Space Academy, 13 Zhdanovskaya, 197198, Saint Petersburg, Russia

Abstract: A Hilbert basis of the cone constructed from matrices describing generic situations, i.e., such vector subspaces in a finite direct sum of finite-dimensional subspaces that are in generic position with respect to the direct summands is computed.

Key words and phrases: direct sum, subspace, Hilbert basis.

UDC: 519.112.1

Received: 18.09.2018