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

A symmetric matrix

Symmetric Matrices > Definitions > Example

The matrix

A := left(begin{array}{ccc} 4 & 3/2 & 2 3/2 & 2 & 5/2 2 & 5/2 & 2 end{array}right)

is symmetric. The matrix

B := left(begin{array}{ccc} 4 & 3/2 & 2 3/2 & 2 & mathbf{5/2} 2 & mathbf{5} & 2 end{array}right)

is not, since it is not equal to its transpose. (Offending elements in bold.)

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