Content deleted Content added
Undid revision 1190896444 by Erel Segal (talk) These properties are already written in the prior section in the list |
Erel Segal (talk | contribs) |
||
Line 33:
:<math>C^*_\text{internal} := \left \{y\in X: \langle y , x \rangle \geq 0 \quad \forall x\in C \right \}.</math>
=== Properties ===
Using this latter definition for ''C{{sup|*}}'', we have that when ''C'' is a cone, the following properties hold:<ref name="Boyd">{{cite book|title=Convex Optimization | first1=Stephen P. |last1=Boyd |first2=Lieven|last2=Vandenberghe|year=2004|publisher=Cambridge University Press|isbn=978-0-521-83378-3 | url=https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf#page=65 |format=pdf|access-date=October 15, 2011|pages=51–53}}</ref>
* A non-zero vector ''y'' is in ''C{{sup|*}}'' if and only if both of the following conditions hold:
| |||