Problem 1. (25%) Consider the following optimization problem: min #1,#2 ER √√4x² + 4x² − 4x₁x2 + 2x1 + 1 − X1 − x₂ s.t.
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Problem 1. (25%) Consider the following optimization problem: min #1,#2 ER √√4x² + 4x² − 4x₁x2 + 2x1 + 1 − X1 − x₂ s.t.
Problem 1. (25%) Consider the following optimization problem: min #1,#2 ER √√4x² + 4x² − 4x₁x2 + 2x1 + 1 − X1 − x₂ s.t. x²+x² + x₁ + 2x2 ≤ 4, −1≤ x₁ ≤ 1, −1≤ x₂ ≤ 1 (a) (10%) Rewrite the above problem into an SOCP. (For simplicity, you may leave the linear constraints: -1 ≤ ₁ ≤ 1, −1≤ x2 ≤ 1 as it is.)
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