Optimization Models

1. Introduction

1.2. Optimization Models

2. Linear Algebra

2.3. Linear Equations

2.4. Least-Squares

2.5. Eigenvalues

2.6 Singular Values

3. Convex Models

3.7. Non-Convex Models

4. Duality

4.1. Weak Duality

4.2. Strong Duality

4.3. Applications

5. Case Studies

5.1. Senate Voting

5.2. Antenna Arrays

5.3. Localization

5.4. Circuit Design

Sample average of vectors

The sample average of given vectors $x_1,ldots,x_n in mathbf{R}^m$ , is defined as the vector $hat{x} in mathbf{R}^m$ , with

$hat{x} := frac{1}{n} (x_1 + ldots + x_n) .$

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