Convex cones
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(New page: ==Nonorthogonal projection on extreme directons of convex cone== ===pseudo coordinates=== Let <math>\mathcal{K}</math> be a full closed pointed convex cone in some finite dimensional Eucli...)
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Revision as of 20:39, 28 August 2008
Nonorthogonal projection on extreme directons of convex cone
pseudo coordinates
Let be a full closed pointed convex cone in some finite dimensional Euclidean space
.
For any vector and a point
,
define
to be the largest number
such that
.
Suppose and
are points in
.
Further, suppose that for every extreme direction
of
.
Then must be equal to
.