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. Symmetric Matrices
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

Linear Equations > Motivating example | Existence, Unicity | Solving via QR | Applications
  • Temperature distribution.

  • Trilateration by distance measurements.

  • Triangulation by directional measurements.

  • Estimation of traffic flow.

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