Optimization Models
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1. Introduction
1.1. Overview
1.2. Optimization Models
2. Linear Algebra
2.1. Vectors
2.2. Matrices
2.3. Linear Equations
2.4. Least-Squares
2.5. Eigenvalues
2.6 Singular Values
3. Convex Models
3.1. Convexity
3.2. LP and QP
3.3. SOCP
3.4. Robust LP
3.5. GP
3.6. SDP
4. Duality
4.1. Weak Duality
4.2. Strong Duality
5. Case Studies
5.1. Senate Voting
5.2. Antenna Arrays
5.3. Localization
5.4. Circuit Design
Applications
Symmetric Matrices
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Definitions
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Spectral theorem
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PSD matrices
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PCA
| Applications
PCA of Senate voting data