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Recession cone : ウィキペディア英語版
Recession cone
In mathematics, especially convex analysis, the recession cone of a set A is a cone containing all vectors such that A ''recedes'' in that direction. That is, the set extends outward in all the directions given by the recession cone.
== Mathematical definition ==
Given a nonempty set A \subset X for some vector space X, then the recession cone \operatorname(A) is given by
:\operatorname(A) = \.
If A is additionally a convex set then the recession cone can equivalently be defined by
:\operatorname(A) = \.
If A is a nonempty closed convex set then the recession cone can equivalently be defined as
:\operatorname(A) = \bigcap_ t(A - a) for any choice of a \in A.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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