Consider the set defined by the following inequalities 1. Draw the set. Is it convex? 2. Show
Question:
Consider the set defined by the following inequalities
1. Draw the set. Is it convex?
2. Show that it can be described as a single quadratic inequality of the form q(x) = xT Ax + 2bTx + c ≤ 0, for matrix A = AT ∈ R2,2, b ∈ R2 and c ∈ R which you will determine.
3. What is the convex hull of this set?
Transcribed Image Text:
(x₁2x2-1 and x2 > 0) or (x1 ≤ x2-1 and x2 ≤ 0).
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1 The set is not convex 0 1 and 2 0 both belong to t...View the full answer
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Related Book For
Optimization Models
ISBN: 9781107050877
1st Edition
Authors: Giuseppe C. Calafiore, Laurent El Ghaoui
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