lecture. - CASTLE Lab - Princeton University

θ = [ −0.06 1.64 2.13 −0.70 ]
4
T
3
2
1
0
−2 0 2
3
2
1
Introduction and Notation
θ = [ −0.26 1.44 1.93 −0.90 ]
4
T
0
−2 0 2
Cθ = {x ∈ R2 ⎢
: Ax θ} where A = ⎢
⎣
⎡
θ = [ −0.46 1.24 1.73 −1.10 ]
4
T
3
2
1
−0.83 −0.43
0.57 0.63
0.28 0.80
1.14 −0.90
0
−2 0 2
⎤
⎥
⎦
⎡
⎢
and θ = ⎢
⎣
θ = [ −0.66 1.04 1.53 −1.30 ]
4
T
3
2
1
0
−2 0 2
−0.06
1.64
2.13
0.70
⎤
⎡
⎥
⎦−0.2k ⎢
⎣
Figure: Convex polyhedra described by Cθ k = {x ∈ R 2 : Ax θk}, for k = 0,1,2,3
(left to right).
Boris Defourny (ORFE) Lecture 6: Perturbation Analysis in Optimization March 15,2012 6 / 26
1
1
1
1
⎤
⎥
⎦