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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013 Issue 2, Pages 67–75 (Mi vspui123)

Applied mathematics

The method of gradient type for solving the problem of strict $h$-polyhedral separability

E. K. Cherneutsanu

St. Petersburg State University

Abstract: The method of gradient type for solving the problem of strict separation of the convex hull of the finite set $A$ from finite set $B$ with $h$ hyperplanes is considered. Examples of the solution of the problem for parameter values $c=0$ and $c=\frac{1}{2}$ are given. Particular attention is paid to organization of calculations. Bibliogr. 7. Il. 6.

Keywords: $h$-polyhedral separability, gradient type method.

UDC: 519.853.5

Received: December 20, 2012



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